MATH-11-SP18: Module 5 Quiz

Do college students enjoy playing sports less than watching sports? Eleven randomly selected college students were asked to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Play 1 4 2 7 5 1 9 6 2 5 2 Watch 3 9 6 7 3 4 7 8 6 10 7 Assume the distribution of the differences is normal. What can be concluded at the 0.01 level of significance? (d = score before - score after) H0: mu.gifd = 0 Ha: mu.gifd [response1] 0 Test statistic: [response2] p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that, on average, college students enjoy playing sports less than they enjoy watching sports?

0.007 reject the null hypothesis sufficient

Do college students enjoy playing sports less than watching sports? Eleven randomly selected college students were asked to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Play 1 4 2 7 5 1 9 6 2 5 2 Watch 3 9 6 7 3 4 7 8 6 10 7 Assume the distribution of the differences is normal. What can be concluded at the 0.01 level of significance? (d = score before - score after) H0: mu.gifd = 0 Ha: mu.gifd [response1] 0 Test statistic: [response2] p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that, on average, college students enjoy playing sports less than they enjoy watching sports?

0.007 reject the null hypothesis sufficient

Do men score higher than women on average on the final exam in their statistics class? Final exam scores of twelve randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male 95 86 58 77 81 90 88 97 72 80 82 97 Female 78 86 79 67 83 84 99 90 87 76 85 72 94 Assume that both populations follow a normal distribution. What can be concluded at the 0.05 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifMen = mu.gifWomen Ha: mu.gifMen [response1] mu.gifWomen Test statistic: [response2] p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that men score higher than women on average on the final exam in their statistics class.

0.451 Fail to reject the null hypothesis insufficient

American college students have an average of 4.6 credit cards per student. Is the average less for 20-year-olds who are not in college? The data for the 18 randomly selected 20-year-olds who are not in college is shown below: 8, 4, 3, 0, 6, 2, 4, 1, 5, 5, 4, 2, 3 ,4, 2, 7, 4, 0 Helpful Videos: Set-up (Links to an external site.)Links to an external site. H0: mu.gif = 4.6 Ha: mu.gif 4.6

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The average salary for American college graduates is $46,000. You suspect that the average is less for graduates from your college. The 43 randomly selected graduates from your college had an average salary of $44,519 and a standard deviation of $14,692. What can be concluded at the 0.05 level of significance? H0: mu.gif = 46000 Ha: mu.gif 46000

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The average house has 12 paintings on its walls. The standard deviation is 3.7 paintings. Is the mean smaller for houses owned by teachers? The data show the results of a survey of 14 teachers who were asked how many paintings they have in their houses. Assume that that distribution of the population is normal. 11, 15, 7, 6, 9, 12, 16, 13, 8, 14, 3, 10, 8, 9 What can be concluded at the 0.05 level of significance? H0: mu.gif = 12 Ha: mu.gif 12 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of paintings that are in teacher's houses is less than 12.

< Z 0.026 Reject the null hypothesis sufficient

It takes an average of 10 minutes for blood to begin clotting after an injury. The standard deviation is 3 minutes. An EMT wants to see if the average will decrease if the patient is spoken softly to. The EMT randomly selected 38 injured patients to speak softly to and noticed that they averaged 9.1 minutes for their blood to begin clotting after their injury. What can be concluded at the 0.05 level of significance? H0: mu.gif = 10 Ha: mu.gif 10 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean time for blood to begin to clot after an injury is less than 10 minutes for patients who are spoken to softly.

< Z 0.0322 Reject the null hypothesis statistically significant

Are couples that live together before they get married less likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 38 of the 370 couples from the study who lived together before they got married were divorced within five years of marriage. 56 of the 430 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the 0.10 level of significance? H0: PLiveTogether = PLiveApart Ha: PLiveTogether PLiveApart Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that couples that live together before they get married are less likely to end up divorced within five years of marriage compared to couples that live apart before they get married.

< Z 0.114 Fail to reject the null hypothesis insufficient

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be lower for students who are given colored pens on the first day of class. The final exam scores for the 18 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 68, 74, 69, 76, 72, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78, 70 What can be concluded at the 0.05 level of significance? H0: mu.gif = 77 Ha: mu.gif 77 Test statistic: p-Value = 0.258 . Round your answer to three decimal places. Fail to reject the null hypothesis Conclusion: There is evidence to make the conclusion that the population mean final exam score for students who are given colored pens at the beginning of class is less than 77%.

< Z 0.258 Fail to reject the null hypothesis insufficient

Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 37 randomly surveyed shoppers on the day after Thanksgiving spent an average of $117. Their standard deviation was $29. The 35 randomly surveyed shoppers on the day after Christmas spent an average of $138. Their standard deviation was $34. What can be concluded at the 0.05 level of significance? H0: mu.gifThanksgiving = mu.gifChristmas Ha: mu.gifThanksgiving mu.gifChristmas Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas.

< t 0.003 Reject the null hypothesis sufficient

Do left handed starting pitchers pitch fewer innings per game on average than right handed starting pitchers? Thirteen randomly selected left handed starting pitchers' games and fourteen randomly selected right handed pitchers' games were looked at. The table below shows the results. Left 7 4 5 6 6 8 2 5 7 5 8 4 2 Right 8 6 8 9 7 9 9 8 4 5 7 9 3 6 Assume that both populations follow a normal distribution. What can be concluded at the 0.05 level of significance? H0: mu.gifleft = mu.gifright Ha: mu.gifleft mu.gifright Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that left handed starting pitchers pitch fewer innings per game on average than right handed starting pitchers.

< t 0.017 reject the null hypothesis sufficient

American college students have an average of 4.6 credit cards per student. Is the average less for 20-year-olds who are not in college? The data for the 18 randomly selected 20-year-olds who are not in college is shown below: 8, 4, 3, 0, 6, 2, 4, 1, 5, 5, 4, 2, 3 ,4, 2, 7, 4, 0 Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? H0: mu.gif = 4.6 Ha: mu.gif 4.6 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of credit cards held by 20-year-olds who are not in college is less than 4.6.

< t 0.030 reject the null hypothesis sufficient

Is there a difference between the average amount of money each shopper at the mall spends the day after Thanksgiving vs. the day after Christmas? The 40 randomly surveyed shoppers on the day after Thanksgiving spent an average of $123. Their standard deviation was $32. The 33 randomly surveyed shoppers on the day after Christmas spent an average of $141. Their standard deviation was $39. What can be concluded at the 0.01 level of significance? H0: mu.gifThanksgiving = mu.gifChristmas Ha: mu.gifThanksgiving mu.gifChristmas Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference in the average amount of money each shopper at the mall spends the day after Thanksgiving vs. the day after Christmas.

< t 0.038 Fail to reject the null hypothesis insufficient

The average fruit fly will lay 400 eggs into rotting fruit. A biologist wants to see if flies that have a certain gene modified will lay fewer eggs on average. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 323, 408, 391, 452, 387, 365, 378, 411, 426, 367, 333, 298, 362 What can be concluded at the 0.01 level of significance? Helpful Videos:Calculations (Links to an external site.)Links to an external site., Set-up (Links to an external site.)Links to an external site., Interpretations (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gif = 400 Ha: mu.gif 400 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is less than 400.

< t 0.038 Fail to reject the null hypothesis insufficient

On average is the younger sibling's IQ lower than the older sibling's IQ? Eleven sibling pairs were given IQ tests. The data is shown below. Younger 104 96 102 125 86 100 90 117 102 110 81 Older 107 97 99 131 90 96 94 117 108 114 82 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = Younger Sibling IQ - Older Sibling IQ) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean IQ score for younger siblings is less than the population mean IQ score for older siblings.

< t 0.038 reject the null hypothesis sufficient

Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a shorter waiting time? The 43 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.5 hours to be admitted into the hospital. The standard deviation for these 43 patients was 1.8 hours. What can be concluded at the 0.05 level of significance? H0: mu.gif = 6 Ha: mu.gif 6 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is less than 6 hours.

< t 0.038 reject the null hypothesis sufficient

Does 10K running time increase when the runner listens to music? Ten runners were timed as they ran a 10K with and without listening to music. The the running times in minutes are shown below. No Music 52.4 43.9 52.6 44.2 53.3 51.4 44.2 41.1 47.9 46.2 Music 55.7 41.3 52.8 47.5 53.9 54.1 49.6 37.8 51.5 49.6 Assume the distribution of the differences is normal. What can be concluded at the 0.01 level of significance? (d = Time Without music - Time With music) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean running time for a 10K increases when the runners listen to music.

< t 0.049 Fail to reject the null hypothesis insufficient

It says on the new Meat Man Barbecue's box that it takes 10 minutes for assembly. The manager of the retail store where the barbecues are sold thinks that it takes less time to assemble. The manager surveyed 55 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 9.3 minutes. The standard deviation for this survey group was 4.1 minutes. What can be concluded at the 0.05 level of significance? H0: mu.gif = 10 Ha: mu.gif 10 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is less than 10 minutes.

< t 0.105 Fail to reject the null hypothesis insufficient

Is the average time to complete an obstacle course faster when a patch is placed over the left eye than when a patch is placed over the right eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Left 49 43 51 37 46 38 47 45 53 41 49 48 39 Right 51 42 49 43 41 40 47 46 55 42 50 51 39 Assume the distribution of the differences is normal. What can be concluded at the 0.10 level of significance? (d = score before - score after) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean time to complete the obstacle course with a patch over the left eye is less than the population mean time to complete the obstacle course with a patch over the right eye.

< t 0.155 Fail to reject the null hypothesis insufficient

The average American consumes 8.7 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 48 randomly selected college students and found that they averaged 8.3 liters of alcohol consumed per year with a standard deviation of 2.9 liters. What can be concluded at the 0.10 level of significance? H0: mu.gif = 8.7 Ha: mu.gif 8.7 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean amount of alcohol consumed by college students is less than 8.7 liters per year.

< t 0.172 Fail to reject the null hypothesis insufficient

Women are recommended to consume 1800 calories per day. You suspect that women at your college consume fewer calories each day on average. The data for the 13 women who participated in the study is shown below: 1778, 1809, 1653, 1793, 1882, 1700, 1648, 2112, 1539, 1740, 1734, 1831, 1782 Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? H0: mu.gif = 1800 Ha: mu.gif 1800 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean calorie intake for women at your college is less than 1800.

< t 0.217 Fail to reject the null hypothesis insufficient

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be lower for students who are given colored pens on the first day of class. The final exam scores for the 18 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 68, 74, 69, 76, 72, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78, 70 What can be concluded at the 0.05 level of significance? H0: mu.gif = 77 Ha: mu.gif 77 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean final exam score for students who are given colored pens at the beginning of class is less than 77%.

= Z 0.258 Fail to reject the null hypothesis insufficient

Currently patrons at the library speak at an average of 63.2 decibels and the standard deviation is 4 decibels. Will this average increase after a "keep your voices down" sign is removed from the front entrance? After the sign was removed, the librarian random recorded 41 patrons speaking at the library. Their average decibel level was 64.1. H0: mu.gif = 63.2 Ha: mu.gif 64

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The average amount of time it takes for couples to further communicate with each other after their first date has ended is 1.5 days. The standard deviation is 0.6 days. Is this average longer for blind dates? A researcher interviewed 34 couples who had recently been on blind dates and found that they averaged 1.65 days to communicate with each other after the date was over. H0: mu.gif = 1.5 Ha: mu.gif 1.5

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The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if there will be a difference in the average final exam score for students who are given colored pens on the first day of class. The final exam scores for the 18 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 88, 84, 68, 96, 72, 81, 97, 77, 79, 85, 81, 52, 80, 98, 83, 78, 90 What can be concluded at the 0.05 level of significance? Helpful Videos: Set-up (Links to an external site.)Links to an external site. H0: mu.gif = 77 Ha: mu.gif > 77

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The average salary for American college graduates is $46,000. You suspect that the average is more for graduates from your college. The 47 randomly selected graduates from your college had an average salary of $53,115 and a standard deviation of $24,197. What can be concluded at the 0.1 level of significance? Helpful Videos: Set-up (Links to an external site.)Links to an external site. H0: mu.gif = 46000 Ha: mu.gif 46000

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Are job applicants with easy to pronounce last names more likely to get called for an interview than applicants with difficult to pronounce last names. 500 job applications were sent out with last names that are easy to pronounce and 500 identical job applications were sent out with names that were difficult to pronounce. 138 of the "applicants" with easy to pronounce names were called for an interview while 104 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.01 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: PEasyToPronounce = PDifficultToPronounce Ha: PEasyToPronounce PDifficultToPronounce Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that people with easy to pronounce last names are more likely to get called for an interview compared to people with difficult to pronounce last names.

> Z 0.006 reject the null hypothesis sufficient

Are blonde female college students more likely to have boyfriends than brunette female college students? 219 of the 350 blondes surveyed had boyfriends and 220 of the 400 brunettes surveyed had boyfriends. What can be concluded at the 0.05 level of significance? H0: PBlonde = PBrunette Ha: PBlonde PBrunette Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that blonde female college students are more likely to have boyfriends than brunette female college students.

> Z 0.018 Reject the null hypothesis sufficient

Are freshmen psychology majors more likely to change their major before they graduate than freshmen business majors? 484 of the 975 freshmen psychology majors from a recent study changed their major before they graduated and 314 of the 697 freshmen business majors changed their major before they graduated. What can be concluded at the 0.01 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: PPsychology = PBusiness Ha: PPsychology PBusiness Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that freshmen psychology majors are more likely than freshmen business majors to change their majors.

> Z 0.032 Fail to reject the null hypothesis insufficient

Are couples that live together before they get married more likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 54 of the 380 couples from the study who lived together before they got married were divorced within five years of marriage. 51 of the 490 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the 0.05 level of significance? H0: PLiveTogether = PLiveApart Ha: PLiveTogether PLiveApart Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that couples that live together before they get married are more likely to end up divorced within five years of marriage compared to couples that live apart before they get married.

> Z 0.044 reject the null hypothesis sufficient

Is the proportion of wildfires caused by humans in the south greater than the proportion of wildfires caused by humans in the west? 403 of the 481 randomly selected wildfires looked at in the south were caused by humans while 514 of the 640 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the 0.10 level of significance? H0: Psouth = Pwest Ha: Psouth Pwest Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the proportion of wildfires caused by humans in the south is greater than the proportion of wildfires caused by humans in the west.

> Z 0.068 Reject the null hypothesis sufficient

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance? H0: mu.gif = 77 Ha: mu.gif 77 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean final exam score for students who are given colored pens at the beginning of class is greater than 77%.

> Z 0.144 Fail to reject the null hypothesis insufficient

The average number of cavities that 30-year-old Americans have had in their lifetimes is 7.0. The standard deviation 2.7 cavities. Do 20 year olds have more cavities? The data show the results of a survey of 16 twenty-year-olds who were asked how many cavities they have had. Assume that that distribution of the population is normal. Helpful Videos:Calculations (Links to an external site.)Links to an external site., Set-up (Links to an external site.)Links to an external site., Interpretations (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. 6, 7, 7, 8, 7, 8, 9, 6, 5, 6, 7, 8, 7, 6, 9, 8 What can be concluded at the 0.05 level of significance? H0: mu.gif = 7 Ha: mu.gif 7 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of cavities for 20-year-olds is more than 7.0.

> Z 0.427 Fail to reject the null hypothesis insufficient

Do shoppers at the mall spend more money on average the day after Thanksgiving compared to the day after Christmas? The 38 randomly surveyed shoppers on the day after Thanksgiving spent an average of $133. Their standard deviation was $36. The 43 randomly surveyed shoppers on the day after Christmas spent an average of $126. Their standard deviation was $17. What can be concluded at the 0.05 level of significance? H0: mu.gifThanksgiving = mu.gifChristmas Ha: mu.gifThanksgiving mu.gifChristmas Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that shoppers at the mall spend more money on average the day after Thanksgiving compared to the day after Christmas.

> t 0.0139 Fail to reject the null hypothesis insufficient

The average American consumes 8.7 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 51 randomly selected college students and found that they averaged 9.8 liters of alcohol consumed per year with a standard deviation of 3.9 liters. What can be concluded at the 0.05 level of significance? H0: mu.gif = 8.7 Ha: mu.gif 8.7 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean amount of alcohol consumed by college students is greater than 8.7 liters per year.

> t 0.025 reject the null hypothesis sufficient

Does 10K running time decrease when the runner listens to music? Eleven runners were timed as they ran a 10K with and without listening to music. The the running times in minutes are shown below. No Music 58.4 43.9 52.6 49.2 53.3 57.4 44.2 41.1 47.9 50.2 44.8 Music 55.7 41.3 52.8 47.5 53.9 54.1 39.6 37.8 51.5 49.6 42.3 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = Time Without music - Time With music) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean running time for a 10K decreases when the runners listen to music.

> t 0.026 reject the null hypothesis sufficient

Do left handed starting pitchers pitch more innings per game on average than right handed starting pitchers? Fourteen randomly selected left handed starting pitchers' games and fourteen randomly selected right handed pitchers' games were looked at. The table below shows the results. Left 7 8 5 6 6 8 9 5 7 5 8 4 8 9 Right 1 6 8 4 7 3 9 8 4 5 7 2 3 6 Assume that both populations follow a normal distribution. What can be concluded at the 0.05 level of significance? H0: mu.gifleft = mu.gifright Ha: mu.gifleft mu.gifright Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that left handed starting pitchers pitch more innings per game on average than right handed starting pitchers.

> t 0.029 Reject the null hypothesis sufficient

Women are recommended to consume 1800 calories per day. You suspect that women at your college consume more calories each day on average. The data for the 13 women who participated in the study is shown below: 1878, 1809, 1753, 1793, 1882, 1900, 1948, 2112, 1639, 1840, 2034, 1831, 1882 Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? H0: mu.gif = 1800 Ha: mu.gif 1800 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean calorie intake for women at your college is more than 1800.

> t 0.029 Reject the null hypothesis sufficient

Is the average time to complete an obstacle course faster when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Left 49 45 51 37 40 38 47 45 58 41 49 48 39 Right 41 42 45 43 41 40 47 46 55 42 44 43 34 Assume the distribution of the differences is normal. What can be concluded at the 0.10 level of significance? (d = speed right - speed left) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean time to complete the obstacle course with a patch over the right eye is greater than the population mean time to complete the obstacle course with a patch over the left eye.

> t 0.061 Reject the null hypothesis sufficient

Is memory ability before a meal worse than after a meal? Twelve people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Before 74 68 82 97 76 81 80 75 88 84 79 91 After 76 68 85 94 79 88 83 72 90 87 79 90 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = score before - score after) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean memory ability before a meal is worse than the population mean memory ability after a meal.

> t 0.068 Fail to reject the null hypothesis insufficient

The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the assembly time is longer than 10 minutes. The advocate surveyed 46 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 10.9 minutes. The standard deviation for this survey group was 4.5 minutes. What can be concluded at the 0.10 level of significance? H0: mu.gif = 10 Ha: mu.gif 10 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is more than 10 minutes.

> t 0.091 Reject the null hypothesis sufficient

Does the average Presbyterian donate more than the average Catholic in church on Sundays? The 35 randomly selected members of the Presbyterian church donated an average of $28 with a standard deviation of $14. The 44 randomly selected members of the Catholic church donated an average of $24 with a standard deviation of $12. What can be concluded at the 0.10 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifPres. = mu.gifCatholic Ha: mu.gifPres. mu.gifCatholic Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the average Presbyterian donates more than the average Catholic in church on Sundays.

> t 0.092 Reject the null hypothesis insufficient

Does the average Presbyterian donate more than the average Catholic in church on Sundays? The 35 randomly selected members of the Presbyterian church donated an average of $28 with a standard deviation of $14. The 44 randomly selected members of the Catholic church donated an average of $24 with a standard deviation of $12. What can be concluded at the 0.10 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifPres. = mu.gifCatholic Ha: mu.gifPres. mu.gifCatholic Test statistic: p-Value = 0.092 Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the average Presbyterian donates more than the average Catholic in church on Sundays.

> t 0.092 Reject the null hypothesis sufficient

Is memory ability before a meal different compared to after a meal? Twelve people were given memory tests before their meal and then again after their meal. The data is shown below. Before 74 68 82 97 76 81 80 75 88 84 79 91 After 76 68 85 94 79 88 83 72 90 87 79 90 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = score before - score after) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean memory ability before a meal differs from the population mean memory ability after a meal.

> t 0.136 Fail to reject the null hypothesis insufficient

Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for 13 randomly selected fraternity brothers and 13 randomly selected sorority sisters. Frat 16 12 5 24 32 9 17 11 5 8 14 5 10 Sor 8 11 7 19 7 3 6 18 8 6 10 24 16 Assume that both populations follow a normal distribution. What can be concluded at the 0.01 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifFrat = mu.gifSor Ha: mu.gifFrat mu.gifSor Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that fraternity brothers work more volunteer hours on average than sorority sisters.

> t 0.250 Fail to Reject the null hypothesis insufficient

On average is the younger sibling's IQ higher than the older sibling's IQ? Eleven sibling pairs were given IQ tests. The data is shown below. Younger 104 96 102 125 86 100 90 117 102 110 81 Older 107 87 99 121 90 96 94 117 108 114 72 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = Younger Sibling IQ - Older Sibling IQ) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean IQ score for younger siblings is higher than the population mean IQ score for older siblings.

> t 0.332 Fail to reject the null hypothesis insufficient

Is memory ability before a meal better than after a meal? Twelve people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Before 74 68 82 97 76 81 80 75 88 84 79 91 After 76 68 85 94 79 88 83 72 80 87 79 80 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = score before - score after) Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifd = 0 Ha: mu.gifd 0 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean memory ability before a meal is better than the population mean memory ability after a meal.

> t 0.413 Fail to reject the null hypothesis insufficient

The average number of cavities that 30-year-old Americans have had in their lifetimes is 7.0. The standard deviation 2.7 cavities. Is the mean different for 20-year-olds? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that that distribution of the population is normal. 6, 7, 5, 3, 7, 8, 4, 6, 5, 6, 4, 6, 7, 6, 9 What can be concluded at the 0.05 level of significance? Helpful Videos:Calculations (Links to an external site.)Links to an external site., Set-up (Links to an external site.)Links to an external site., Interpretations (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gif = 7 Ha: mu.gif 7 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of cavities for 20-year-olds differs from 7.0.

Not equal to Z 0.126 Fail to reject the null hypothesis insufficient

54% of students entering four-year colleges receive a degree within six years. Is this percent different for students who play intramural sports? 458 of the 800 students who played intramural sports received a degree within six years. H0: p = 0.54 Ha: p 0.54

not equal

54% of students entering four-year colleges receive a degree within six years. Is this percent different for students who play intramural sports? 458 of the 800 students who played intramural sports received a degree within six years. H0: p = 0.54 Ha: p not equal 0.54

not equal

Before the furniture store began its ad campaign, it averaged 166 customers per day. The manager is hoping that the average has changed since the ad came out. The data for the 10 randomly selected days since the ad campaign began is shown below: 179, 182, 150, 203, 145, 199, 182, 234, 200, 177 Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? Helpful Videos: Set-up (Links to an external site.)Links to an external site. H0: mu.gif = 166 Ha: mu.gif 166

not equal

Is the proportion of wildfires caused by humans in the south less than the proportion of wildfires caused by humans in the west? 326 of the 450 randomly selected wildfires looked at in the south were caused by humans while 412 of the 520 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the 0.05 level of significance? H0: Psouth = Pwest Ha: Psouth Pwest Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the proportion of wildfires caused by humans in the south is less than the proportion of wildfires caused by humans in the west.

not equal to Z 0.007 reject the null hypothesis sufficient

Is there a difference between the proportion of blonde and brunette female college students who have boyfriends? 219 of the 350 blondes surveyed had boyfriends and 220 of the 400 brunettes surveyed had boyfriends. What can be concluded at the 0.05 level of significance? H0: PBlonde = PBrunette Ha: PBlonde PBrunette Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is [response5] evidence to make the conclusion that there is a difference between the proportion of blonde and brunette female college students who have boyfriends.

not equal to Z 0.036 Reject the null hypothesis

Is there a difference in the proportion of wildfires caused by humans in the south and in the west? 495 of the 650 randomly selected wildfires looked at in the south were caused by humans while 331 of the 414 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the 0.05 level of significance? H0: Psouth = Pwest Ha: Psouth Pwest Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference between the proportion of wildfires caused by humans in the south and the proportion of wildfires caused by humans in the west.

not equal to Z 0.147 Fail to reject the null hypothesis insufficient

The average house has 12 paintings on its walls. The standard deviation is 4.7 paintings. Is the mean different for houses owned by teachers? The data show the results of a survey of 14 teachers who were asked how many paintings they have in their houses. Assume that that distribution of the population is normal. 11, 15, 7, 14, 9, 12, 16, 13, 8, 14, 3, 10, 8, 9 What can be concluded at the 0.05 level of significance? H0: mu.gif = 12 Ha: mu.gif 12 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of paintings that are in teacher's houses is different from 12.

not equal to Z 0.280 Fail to reject the null hypothesis insufficient

Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for 13 randomly selected fraternity brothers and 13 randomly selected sorority sisters. Frat 6 12 5 4 6 9 8 11 5 8 4 5 10 Sor 8 28 12 19 20 3 16 18 8 6 10 24 16 Assume that both populations follow a normal distribution. What can be concluded at the 0.05 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifFrat = mu.gifSor Ha: mu.gifFrat mu.gifSor Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that fraternity brothers work fewer volunteer hours on average than sorority sisters.

not equal to t 0.002 reject the null hypothesis sufficient

Is there a difference in the amount of writing political science classes and history classes require? The 56 randomly selected political science classes assigned an average of 17 pages of essay writing for the course. The standard deviation for these 56 classes was 3.5 pages. The 39 randomly selected history classes assigned an average of 15 pages of essay writing for the course. The standard deviation for these 39 classes was 2.8 pages. What can be concluded at the 0.05 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifPolySci = mu.gifHistory Ha: mu.gifPolySci mu.gifHistory Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference in the average amount of writing political science classes and history classes require.

not equal to t 0.003 reject the null hypothesis sufficient

Is there a difference in the amount of writing political science classes and history classes require? The 56 randomly selected political science classes assigned an average of 17 pages of essay writing for the course. The standard deviation for these 56 classes was 3.5 pages. The 39 randomly selected history classes assigned an average of 15 pages of essay writing for the course. The standard deviation for these 39 classes was 2.8 pages. What can be concluded at the 0.05 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifPolySci = mu.gifHistory Ha: mu.gifPolySci mu.gifHistory Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference in the average amount of writing political science classes and history classes require.

not equal to t 0.003 reject the null hypothesis sufficient

American college students have an average of 4.6 credit cards per student. Is the average different for 20-year-olds who are not in college? The data for the 18 randomly selected 20-year-olds who are not in college is shown below: 3, 4, 3, 0, 6, 2, 4, 1, 5, 5, 0, 2, 3 ,4, 2, 7, 4, 0 Assuming that the distribution is normal, what can be concluded at the 0.01 level of significance? H0: mu.gif = 4.6 Ha: mu.gif 4.6 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of credit cards held by 20-year-olds who are not in college is not equal to 4.6.

not equal to t 0.005 reject the null hypothesis sufficient

The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the claim is false. The advocate surveyed 50 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 11.2 minutes. The standard deviation for this survey group was 3.1 minutes. What can be concluded at the 0.05 level of significance? H0: mu.gif= 10 Ha: mu.gif 10 Test statistic: p-Value = . Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

not equal to t 0.009 reject the null hypothesis sufficient

Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Is this average different for rural hospitals? The 37 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.4 hours to be admitted into the hospital. The standard deviation for these 37 patients was 1.6 hours. What can be concluded at the 0.01 level of significance? H0: mu.gif = 6 Ha: mu.gif 6 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not equal to 6 hours.

not equal to t 0.029 Fail to reject the null hypothesis insufficient

Before the furniture store began its ad campaign, it averaged 166 customers per day. The manager is hoping that the average has changed since the ad came out. The data for the 10 randomly selected days since the ad campaign began is shown below: 179, 182, 150, 203, 145, 199, 182, 234, 200, 177 Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? H0: mu.gif = 166 Ha: mu.gif 166 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean number of customers since the ad campaign began is not equal to 166.

not equal to t 0.045 reject the null hypothesis sufficient

Is there a difference based on gender in average final exam scores in statistics classes? Final exam scores of twelve randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male 85 76 58 77 81 90 88 97 72 70 82 64 Female 78 96 79 67 93 84 99 90 87 76 85 92 94 Assume that both populations follow a normal distribution. What can be concluded at the 0.10 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifMen = mu.gifWomen Ha: mu.gifMen mu.gifWomen Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference based on gender in population mean statistics final exam scores.

not equal to t 0.071 reject the null hypothesis sufficient

Members of fraternities and sororities are required to volunteer for community service. Do they average the same number of volunteer hours per month or is there a difference? The data below show the number of volunteer hours worked for 13 randomly selected fraternity brothers and 13 randomly selected sorority sisters. Frat 6 12 5 4 2 9 7 11 5 8 14 5 10 Sor 8 11 7 19 7 3 6 18 8 6 10 24 16 Assume that both populations follow a normal distribution. What can be concluded at the 0.05 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifFrat = mu.gifSor Ha: mu.gifFrat mu.gifSor Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference in population mean number of volunteer hours that fraternity and sorority members work each month.

not equal to t 0.099 Fail to reject the null hypothesis insufficient

Is there a difference in the average donation given in Presbyterian vs Catholic church on Sundays? The 41 randomly selected members of the Presbyterian church donated an average of $28 with a standard deviation of $12. The 38 randomly selected members of the Catholic church donated an average of $31 with a standard deviation of $14. What can be concluded at the 0.05 level of significance? Helpful Video (Links to an external site.)Links to an external site. Hint (Links to an external site.)Links to an external site. Textbook Pages (Links to an external site.)Links to an external site. H0: mu.gifPres. = mu.gifCatholic Ha: mu.gifPres. mu.gifCatholic Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference between Presbyterians and Catholics in population mean donation on Sundays.

not equal to t 0.312 Fail to reject the null hypothesis insufficient

Is there a difference between the average number of innings that left handed starting pitchers pitch per game and the number of innings that right handed starting pitchers pitch per game? Twelve randomly selected left handed starting pitchers' games and fourteen randomly selected right handed pitchers' games were looked at. The table below shows the results. Left 7 4 9 6 6 8 2 5 7 5 8 4 Right 8 6 8 9 7 3 9 8 4 5 7 9 3 6 Assume that both populations follow a normal distribution. What can be concluded at the 0.10 level of significance? H0: mu.gifleft = mu.gifright Ha: mu.gifleft mu.gifright Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that there is a difference in population mean number of innings that left handed starting pitchers and right handed starting pitchers pitch per game.

not equal to t 0.431 Fail to reject the null hypothesis insufficient

Women are recommended to consume 1800 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 13 women who participated in the study is shown below: 1778, 1809, 1653, 1793, 1882, 1700, 1648, 2112, 1539, 1740, 1734, 1831, 1782 Assuming that the distribution is normal, what can be concluded at the 0.05 level of significance? H0: mu.gif = 1800 Ha: mu.gif 1800 Test statistic: p-Value = Round your answer to three decimal places. Conclusion: There is evidence to make the conclusion that the population mean calorie intake for women at your college is not equal to 1800.

not equal to t 0.434 Fail to reject the null hypothesis insufficient