Week 4

Suppose that a softball team is composed of 15 employees of a furniture store of whom 2 work part-time. What proportion of the team work part-time? Either give the exact fraction or decimal, or round to three decimal places

0.133

A sample of 315 college students were asked whether they prefer chocolate or vanilla ice cream. 127 of those surveyed said that they prefer vanilla ice cream. Calculate the sample proportion of students who prefer vanilla ice cream. Either give the exact fraction or decimal, or round to three decimal places.

0.403

A study conducted at Virginia Commonwealth University in Richmond indicates that many older individuals can shed insomnia through psychological training. A total of 6161 insomnia sufferers averaging age 6767 years old completed eight weekly sessions of cognitive-behavior therapy. After the therapy, 3030 participants enjoyed a substantially better night's sleep. Calculate the sample proportion of insomnia sufferers who did not enjoy a better night's sleep after the therapy. Round your answer to three decimal places, if necessary.

0.508

Given the following data, find the diameter that represents the 32nd percentile. Diameters of Golf Balls1.561.671.551.321.581.561.311.451.471.541.671.541.371.461.64

1.46

Given the following data, find the diameter that represents the 72nd percentile. Diameters of Golf Balls1.561.661.581.621.461.511.471.361.341.551.661.561.311.621.56

1.58

Given the following data, find the diameter that represents the 63rd percentile. Diameters of Golf Balls 1.55,1.68,1.52,1.41,1.69,1.62,1.54,1.54,1.61,1.54,1.68,1.52,1.42,1.70,1.31

1.61

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3333 hours and the median is 29.229.2 hours. Twenty-four of the families in the sample turned on the television for 1818 hours or less for the week. The 16th percentile of the data is 1818 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

150

Construct a box plot from the given data. Scores on a Statistics Test: 74,87,81,46,72,58,87,81,66,8474,87,81,46,72,58,87,81,66,84

46, 66, 77.5, 84, 87

A high school has 4444 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? 172,185,214,233,252

48 pounds

A high school has 4848 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? (176, 201, 221, 251, 262)

50 pounds

Construct a box plot from the given data. Scores on a Statistics Test: 87,54,63,50,61,84,82,85,94,8187,54,63,50,61,84,82,85,94,81 Copy Data

50, 61, 81.5, 85, 94

Construct a box plot from the given data. Scores on a Statistics Test: 82,74,84,92,65,79,78,53,70,5982,74,84,92,65,79,78,53,70,59

53,65,76,82,92

A high school has 3232 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing less than or equal to 262262 pounds? (164,190,219,262,268)

75%

A high school has 4040 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing less than or equal to 245245 pounds?(152,198,228,245,252)

75%

Given the following data, find the percentile of a weight of 8.48.4 pounds. Weights of Newborn Babies (in Pounds)5.4,6.9,7.8,6.2,5.6,6.0,8.8,5.5,6.5,7.9,6.2,8.8,6.5,7.9,7.4,7.0,7.6,6.4,8.4,8.2

90

A high school has 4444 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? (154,159,213,253,268)

94 pounds

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Pierce got a score of 71.571.5; this version has a mean of 62.562.5 and a standard deviation of 1515. Vincent got a score of 309.2309.2; this version has a mean of 294294 and a standard deviation of 1919. Norma got a score of 7.967.96; this version has a mean of 7.27.2 and a standard deviation of 0.40.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Norma

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Brittany got a score of 88.388.3; this version has a mean of 63.163.1 and a standard deviation of 1414. Alissa got a score of 236.5236.5; this version has a mean of 219219 and a standard deviation of 2525. Tera got a score of 7.757.75; this version has a mean of 6.66.6 and a standard deviation of 0.50.5. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

tera

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Kiersten got a score of 76.176.1; this version has a mean of 64.264.2 and a standard deviation of 77. Tera got a score of 311.2311.2; this version has a mean of 293293 and a standard deviation of 2626. Kerri got a score of 7.977.97; this version has a mean of 7.27.2 and a standard deviation of 0.70.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

tera

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.06 ounces with an allowable deviation of 0.03 ounces. The average weight of a bag of potato chips is supposed to be 5.07 ounces with an allowable deviation of 0.04 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.02 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.02 ounces. Which description closely matches the findings on the assembly line?

The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard than the popcorn bag assembly line.

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.08 ounces with an allowable deviation of 0.01 ounces. The average weight of a bag of potato chips is supposed to be 5.03 ounces with an allowable deviation of 0.050.05 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.02 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.06 ounces. Which description closely matches the findings on the assembly line?

The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard than the popcorn bag assembly line.

A sample of 400 college students were asked whether they prefer chocolate or vanilla ice cream. 205 of those surveyed said that they prefer vanilla ice cream. Calculate the sample proportion of students who prefer vanilla ice cream. Either give the exact fraction or decimal, or round to three decimal places. Answer Correct

0.513

Given the following data, find the percentile of a diameter of 1.411.41 inches. Diameters of Golf Balls (in Inches)1.311.621.621.341.631.431.641.491.481.551.571.681.481.541.311.421.441.431.681.50

20

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3030 hours and the median is 26.226.2 hours. Twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. The 12th percentile of the data is 1515 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

200

A high school has 4444 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players? (154,159,213,253,268)

213 pounds

A high school has 4444 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players? (164,191,217,245,262)

217 pounds

Calculate the interquartile range of the given data. 48,44,32,30,50,28,18,49,21,44,34,42,39,13,1848,44,32,30,50,28,18,49,21,44,34,42,39,13,18

23

A high school has 3636 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 241241 pounds? (166, 174, 208, 241, 268 )

25%

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3030 hours and the median is 26.226.2 hours. Twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. The 12th percentile of the data is 1515 hours. What is the value of the 50th percentile?

26.2

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3131 hours and the median is 27.227.2 hours. Twenty-four of the families in the sample turned on the television for 1616 hours or less for the week. The 9th percentile of the data is 1616 hours.

267

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3131 hours and the median is 27.227.2 hours. Twenty-four of the families in the sample turned on the television for 1616 hours or less for the week. The 9th percentile of the data is 1616 hours. What is the value of the 50th percentile?

27.2

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3232 hours and the median is 28.228.2 hours. Twenty-four of the families in the sample turned on the television for 1717 hours or less for the week. The 7th percentile of the data is 1717 hours. What is the value of the 50th percentile?

28.2

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3333 hours and the median is 29.229.2 hours. Twenty-four of the families in the sample turned on the television for 1818 hours or less for the week. The 16th percentile of the data is 1818 hours. What is the value of the 50th percentile?

29.2

Calculate the interquartile range of the given data. 18,55,23,46,37,12,7,42,51,37,23,10,6,4,4018,55,23,46,37,12,7,42,51,37,23,10,6,4,40

32

Calculate the interquartile range of the given data. 23,14,3,39,41,3,28,50,36,1,43,46,45,52,5523,14,3,39,41,3,28,50,36,1,43,46,45,52,55

32

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3232 hours and the median is 28.228.2 hours. Twenty-four of the families in the sample turned on the television for 1717 hours or less for the week. The 7th percentile of the data is 1717 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

343

Given the following data, find the percentile of a diameter of 1.441.44 inches. Diameters of Golf Balls (in Inches)1.331.561.401.571.341.501.411.361.471.571.531.381.561.691.661.561.411.521.421.48

40

Construct a box plot from the given data. Scores on a Statistics Test: 95,49,73,89,86,77,45,63,54,7295,49,73,89,86,77,45,63,54,72

45,54,72.5,86,95

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3030 hours and the median is 26.226.2 hours. Twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. The 12th percentile of the data is 1515 hours. Based on the given information, determine if the following statement is true or false. The 53rd percentile is less than 2525 hours.

False

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Norma got a score of 6666; this version has a mean of 61.861.8 and a standard deviation of 77. Nico got a score of 298.1298.1; this version has a mean of 281281 and a standard deviation of 1919. Pierce got a score of 77; this version has a mean of 6.66.6 and a standard deviation of 0.40.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Pierce

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.023.02 ounces with an allowable deviation of 0.020.02 ounces. The average weight of a bag of potato chips is supposed to be 5.035.03 ounces with an allowable deviation of 0.040.04 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.033.03 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.065.06 ounces. Which description closely matches the findings on the assembly line?

The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard than the potato chip bag assembly line.

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 91.491.4; this version has a mean of 7171 and a standard deviation of 1212. Kiersten got a score of 281.7281.7; this version has a mean of 267267 and a standard deviation of 2121. Kaitlyn got a score of 7.757.75; this version has a mean of 7.37.3 and a standard deviation of 0.50.5. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Tobias

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3333 hours and the median is 29.229.2 hours. Twenty-four of the families in the sample turned on the television for 1818 hours or less for the week. The 16th percentile of the data is 1818 hours. Based on the given information, determine if the following statement is true or false. The first quartile is greater than or equal to 1818 hours.

True

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3030 hours and the median is 26.226.2 hours. Twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. The 12th percentile of the data is 1515 hours. Based on the given information, determine if the following statement is true or false. Approximately 100100 families turned on their televisions for less than 3030 hours.

false

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3030 hours and the median is 26.226.2 hours. Twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. The 12th percentile of the data is 1515 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 1515 hours.

false

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 9th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The 54th percentile is less than 26 hours.

false

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3333 hours and the median is 29.229.2 hours. Twenty-four of the families in the sample turned on the television for 1818 hours or less for the week. The 16th percentile of the data is 1818 hours. Based on the given information, determine if the following statement is true or false. Approximately 7575 families turned on their televisions for less than 3333 hours.

false

Determine if there is an outlier in the given data. If yes, please state the value(s) that are considered outliers. 16,42,6,44,36,39,23,39,37,33,7,31,18,18

no outliers

Determine if there is an outlier in the given data. If yes, please state the value(s) that are considered outliers. 31,52,31,17,31,40,8,6,38,2,19,16,5,13

no outliers

Determine if there is an outlier in the given data. If yes, please state the value(s) that are considered outliers. 43,45,22,22,21,2,49,42,56,5,9,53,36,4643,45,22,22,21,2,49,42,56,5,9,53,36,46

no outliers

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 9th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. Approximately 134 families turned on their televisions for less than 27.2 hours

true

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3232 hours and the median is 28.228.2 hours. Twenty-four of the families in the sample turned on the television for 1717 hours or less for the week. The 7th percentile of the data is 1717 hours. Based on the given information, determine if the following statement is true or false. Approximately 172172 families turned on their televisions for less than 28.228.2 hours.

true

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3232 hours and the median is 28.228.2 hours. Twenty-four of the families in the sample turned on the television for 1717 hours or less for the week. The 7th percentile of the data is 1717 hours. Based on the given information, determine if the following statement is true or false. The 53rd percentile is greater than or equal to 2727 hours.

true

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3232 hours and the median is 28.228.2 hours. Twenty-four of the families in the sample turned on the television for 1717 hours or less for the week. The 7th percentile of the data is 1717 hours. Based on the given information, determine if the following statement is true or false. The first quartile is greater than or equal to 1717 hours.

true

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 3333 hours and the median is 29.229.2 hours. Twenty-four of the families in the sample turned on the television for 1818 hours or less for the week. The 16th percentile of the data is 1818 hours. Based on the given information, determine if the following statement is true or false. The 56th percentile is greater than or equal to 2828 hours.

true

A/An measures the number of standard deviations that a particular value is away from the mean.

z-score