Stat Ch 3.1 HW

Use the magnitudes​ (Richter scale) of the earthquakes listed in the data set below. 2.18, 2.57, 1.56, 1.47, 2.54, 0.74, 0.45, 2.27, 2.85, 1.49, 1.53, 0.36, 2.08, 1.86, 2.21, 2.98, 1.44, 1.38, 1.71, 1.66, 2.13, 1.69, 0.06, 2.56, 0.23, 0.94, 1.33, 1.89, 2.68, 1.64, 2.84, 0.83, 2.81, 2.21, 1.58, 1.17, 0.55, 2.27, 2.62, 1.16, 1.83, 1.37, 2.76, 0.36, 0.62, 2.82, 1.76, 0.91, 1.54, 1.47 Find the median

1.65

Use the magnitudes​ (Richter scale) of the earthquakes listed in the data set below. 2.18, 2.57, 1.56, 1.47, 2.54, 0.74, 0.45, 2.27, 2.85, 1.49, 1.53, 0.36, 2.08, 1.86, 2.21, 2.98, 1.44, 1.38, 1.71, 1.66, 2.13, 1.69, 0.06, 2.56, 0.23, 0.94, 1.33, 1.89, 2.68, 1.64, 2.84, 0.83, 2.81, 2.21, 1.58, 1.17, 0.55, 2.27, 2.62, 1.16, 1.83, 1.37, 2.76, 0.36, 0.62, 2.82, 1.76, 0.91, 1.54, 1.47 Find the mean

1.679

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1=smooth-yellow​, 2=smooth-green​, 3=wrinkled-yellow​, 4=wrinkled-green. 2, 2, 1, 4, 3, 2, 2, 2, 4, 4, 2, 1, 1, 1 Find the Mode

2

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1=smooth-yellow​, 2=smooth-green​, 3=wrinkled-yellow​, 4=wrinkled-green. 2, 2, 1, 4, 3, 2, 2, 2, 4, 4, 2, 1, 1, 1 Find the median

2

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1=smooth-yellow​, 2=smooth-green​, 3=wrinkled-yellow​, 4=wrinkled-green. 2, 2, 1, 4, 3, 2, 2, 2, 4, 4, 2, 1, 1, 1 Find the mean

2.2

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1=smooth-yellow​, 2=smooth-green​, 3=wrinkled-yellow​, 4=wrinkled-green. 2, 2, 1, 4, 3, 2, 2, 2, 4, 4, 2, 1, 1, 1 Find the midrange

2.5

One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to a​ B, 2 points to a​ C, 1 point to a​ D, and 0 points to an F. What is the GPA of a student who gets an A in a 3​-credit course, a B in each of two 2​-credit courses, a C in a 4​-credit course, and a D in a 3​-credit course?

2.5

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. 20, 33, 5, 71, 17, 99, 41, 46, 23, 76, 69 Find the median

41

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. 20, 33, 5, 71, 17, 99, 41, 46, 23, 76, 69 Find the mean

45.5

Find the mean of the data summarized in the given frequency distribution. Speed (miles per hour) Frequency 42-45 29 46-49 16 50-53 6 54-57 3 58-61 2

46.7

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. 20, 33, 5, 71, 17, 99, 41, 46, 23, 76, 69 Find the midrange

52

Find the mean of the data summarized in the given frequency distribution. Low Temperature (°F) Frequency 40-44 1 45-49 6 50-54 12 55-59 7 60-64 2

52.5

Waiting times​ (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Single line: 6.3, 6.6, 6.7, 7, 7.1, 7.4, 7.7, 7.7, 7.7 Individual lines: 4, 5.3, 6, 6.2, 6.4, 7.7, 7.7, 8.5, 9.2, 10 Fine the median for individual line

7.05 min

Waiting times​ (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Single line: 6.3, 6.6, 6.7, 7, 7.1, 7.4, 7.7, 7.7, 7.7 Individual lines: 4, 5.3, 6, 6.2, 6.4, 7.7, 7.7, 8.5, 9.2, 10 Fine the median for single line

7.05 min

Waiting times​ (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Single line: 6.3, 6.6, 6.7, 7, 7.1, 7.4, 7.7, 7.7, 7.7 Individual lines: 4, 5.3, 6, 6.2, 6.4, 7.7, 7.7, 8.5, 9.2, 10 Fine the mean for individual line

7.1 min

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. 49, 70, 70, 70, 75, 75, 95, 105, 110, 125, 175, 175, 225, 234, 250, 250, 300, 350, 400, 425, 425, 425, 425, 1500, 2500 Find the midrange

$1274.5

Listed below are the highest amounts of net worth​ (in millions of​ dollars) of all celebrities. 265, 190, 185, 165, 155, 155, 150, 150, 150, 150 Find the mode

$150 million

Listed below are the highest amounts of net worth​ (in millions of​ dollars) of all celebrities. 265, 190, 185, 165, 155, 155, 150, 150, 150, 150 Find the median

$155 million

Listed below are the highest amounts of net worth​ (in millions of​ dollars) of all celebrities. 265, 190, 185, 165, 155, 155, 150, 150, 150, 150 Find the mean

$171.5 million

Listed below are the highest amounts of net worth​ (in millions of​ dollars) of all celebrities. 265, 190, 185, 165, 155, 155, 150, 150, 150, 150 Find the midrange

$207.5 million

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. 49, 70, 70, 70, 75, 75, 95, 105, 110, 125, 175, 175, 225, 234, 250, 250, 300, 350, 400, 425, 425, 425, 425, 1500, 2500 Find the median

$225

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. 49, 70, 70, 70, 75, 75, 95, 105, 110, 125, 175, 175, 225, 234, 250, 250, 300, 350, 400, 425, 425, 425, 425, 1500, 2500 Find the mean

$356.12

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. 49, 70, 70, 70, 75, 75, 95, 105, 110, 125, 175, 175, 225, 234, 250, 250, 300, 350, 400, 425, 425, 425, 425, 1500, 2500 Find the mode

$425

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. 50666, 53477, 50837, 53001, 53386, 52080, 53074, 52080, 51118, 52839 Find the midrange

$52071.5

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. 50666, 53477, 50837, 53001, 53386, 52080, 53074, 52080, 51118, 52839 Find the mode

$52080

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. 50666, 53477, 50837, 53001, 53386, 52080, 53074, 52080, 51118, 52839 Find the mean

$52255.8

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. 50666, 53477, 50837, 53001, 53386, 52080, 53074, 52080, 51118, 52839 Find the median

$52459.5

A sample of blood pressure measurements is taken from a data set and those values​ (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Systolic: 129, 156, 103, 113, 110, 132, 148, 127, 105, 112 Diastolic: 84, 64, 68, 56, 81, 70, 51, 88, 55, 63 Find the median

- 120 - 66

A sample of blood pressure measurements is taken from a data set and those values​ (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Systolic: 129, 156, 103, 113, 110, 132, 148, 127, 105, 112 Diastolic: 84, 64, 68, 56, 81, 70, 51, 88, 55, 63 Find the means

- 123.5 - 68

Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Male: 93, 82, 60, 81, 88, 64, 52, 75, 56, 57, 60, 69, 63, 96, 70 Female: 79, 63, 95, 95, 82, 71, 87, 87, 92, 83, 75, 95, 62, 69, 70 Find the medians

- 69 - 82

Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Male: 93, 82, 60, 81, 88, 64, 52, 75, 56, 57, 60, 69, 63, 96, 70 Female: 79, 63, 95, 95, 82, 71, 87, 87, 92, 83, 75, 95, 62, 69, 70 Find the means

- 71.1 - 80.3

A​ student's course grade is based on one midterm that counts as 10​% of his final​ grade, one class project that counts as 15​% of his final​ grade, a set of homework assignments that counts as 35​% of his final​ grade, and a final exam that counts as 40​% of his final grade. His midterm score is 66​, his project score is 81​, his homework score is 76​, and his final exam score is 75. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)?

- 75.4 - C

Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6​ W/kg or less. 1.34, 0.88, 0.68, 0.55, 0.91, 0.99, 0.23, 1.53, 0.61, 1.35, 1.04 Find the midrange

0.88

Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6​ W/kg or less. 1.34, 0.88, 0.68, 0.55, 0.91, 0.99, 0.23, 1.53, 0.61, 1.35, 1.04 Find the median

0.91

Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6​ W/kg or less. 1.34, 0.88, 0.68, 0.55, 0.91, 0.99, 0.23, 1.53, 0.61, 1.35, 1.04 Find the mean

0.919

Waiting times​ (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Single line: 6.3, 6.6, 6.7, 7, 7.1, 7.4, 7.7, 7.7, 7.7 Individual lines: 4, 5.3, 6, 6.2, 6.4, 7.7, 7.7, 8.5, 9.2, 10 Fine the mean for single line

7.1 min

Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 70.4 beats per minute. Four of the pulse rates are 55​, 73​, 51​, and 87. Find the missing value.

86

Listed below are foot lengths in inches of randomly selected women in a study of a​ country's military in 1988. 8.9, 9.4, 9.8, 9.4, 8.6, 9.6, 9.9, 9.0, 9.7, 9.8, 9.8 Find the midrange

9.25

Listed below are foot lengths in inches of randomly selected women in a study of a​ country's military in 1988. 8.9, 9.4, 9.8, 9.4, 8.6, 9.6, 9.9, 9.0, 9.7, 9.8, 9.8 Find the mean

9.45

Listed below are foot lengths in inches of randomly selected women in a study of a​ country's military in 1988. 8.9, 9.4, 9.8, 9.4, 8.6, 9.6, 9.9, 9.0, 9.7, 9.8, 9.8 Find the median

9.6

Listed below are foot lengths in inches of randomly selected women in a study of a​ country's military in 1988. 8.9, 9.4, 9.8, 9.4, 8.6, 9.6, 9.9, 9.0, 9.7, 9.8, 9.8 Find the mode

9.8

A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by​ 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S.​ drivers? Why or why​ not?

No, the value of 27.3 cents is not the mean because the 50 amounts are all weighted equally in the​ calculation, but some states consume more gas than​ others, so the mean amount of state sales tax should be calculated using a weighted mean

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. 50666, 53477, 50837, 53001, 53386, 52080, 53074, 52080, 51118, 52839 What does this​ "Top 10" list tell us about the population of all the​ country's college​ tuitions?

Nothing meaningful can be concluded from this information except that these are the largest tuitions of colleges in the country for a recent year.

A sample of blood pressure measurements is taken from a data set and those values​ (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Systolic: 129, 156, 103, 113, 110, 132, 148, 127, 105, 112 Diastolic: 84, 64, 68, 56, 81, 70, 51, 88, 55, 63 Compare the results. Choose the correct answer below.

The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure.

Which of the following is NOT a characteristic of the​ mean?

The mean is called the average by statisticians.

Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Male: 93, 82, 60, 81, 88, 64, 52, 75, 56, 57, 60, 69, 63, 96, 70 Female: 79, 63, 95, 95, 82, 71, 87, 87, 92, 83, 75, 95, 62, 69, 70 Does there appear to be a​ difference?

The pulse rates for females appear to be higher than the pulse rates for males.

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. 20, 33, 5, 71, 17, 99, 41, 46, 23, 76, 69 Find the mode

There is no mode

Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6​ W/kg or less. 1.34, 0.88, 0.68, 0.55, 0.91, 0.99, 0.23, 1.53, 0.61, 1.35, 1.04 Find the mode

There is no mode

A value at the center or middle of a data set is​ a(n) _______.

measure of center

The measure of center that is the value that occurs with the greatest frequency is the​ _______.

mode

Listed below are the highest amounts of net worth​ (in millions of​ dollars) of all celebrities. 265, 190, 185, 165, 155, 155, 150, 150, 150, 150 What do the results tell us about the population of all​ celebrities?

Apart from the fact that all other celebrities have amounts of net worth lower than those​ given, nothing meaningful can be known about the population.

A sample of blood pressure measurements is taken from a data set and those values​ (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Systolic: 129, 156, 103, 113, 110, 132, 148, 127, 105, 112 Diastolic: 84, 64, 68, 56, 81, 70, 51, 88, 55, 63 What else might be​ better?

Because the data are​ matched, it would make more sense to investigate whether there is an association or correlation between the two blood pressures.

Which of the following is always true?

In a symmetric and​ bell-shaped distribution, the​ mean, median, and mode are the same.

Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. 98.0, 99.3, 96.5, 98.2, 96.9, 96.8, 97.3, 98.4, 97.8, 98.4, 98.3, 98.9, 98.4, 97.0, 97.4, 96.7, 99.4, 96.7, 98.7, 98.3, 99.4, 96.7, 96.7, 97.3, 97.0, 98.2, 97.2, 97.6, 97.2, 97.1, 98.6, 97.3, 99.3, 99.2, 98.8, 98.0, 99.5, 98.3, 99.3, 96.5, 99.2, 97.2, 98.0, 96.8, 99.3, 99.2, 98.5, 97.9

Mean: 97.97 Median: 98

Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 70.4 beats per minute. Four of the pulse rates are 55​, 73​, 51​, and 87. Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n values can be freely assigned before the remaining values are​ determined? (The result is referred to as the number of degrees of​ freedom.)

Of the n​ values, n minus 1n−1 can be freely selected because the remaining​ value(s) can be expressed in terms of the assigned values and the known mean.

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1=smooth-yellow​, 2=smooth-green​, 3=wrinkled-yellow​, 4=wrinkled-green. 2, 2, 1, 4, 3, 2, 2, 2, 4, 4, 2, 1, 1, 1 Do the measures of center make​ sense?

Only the mode makes sense since the data is nominal.

Listed below are foot lengths in inches of randomly selected women in a study of a​ country's military in 1988. 8.9, 9.4, 9.8, 9.4, 8.6, 9.6, 9.9, 9.0, 9.7, 9.8, 9.8 Are the statistics representative of the current population of all women in that​ country's military? Choose the best answer below.

Since the measurements were made in​ 1988, they are not necessarily representative of the current population of all women in the​ country's military.

A sample of blood pressure measurements is taken from a data set and those values​ (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Systolic: 129, 156, 103, 113, 110, 132, 148, 127, 105, 112 Diastolic: 84, 64, 68, 56, 81, 70, 51, 88, 55, 63 Are the measures of center the best statistics to use with these​ data?

Since the systolic and diastolic blood pressures measure different​ characteristics, a comparison of the measures of center​ doesn't make sense.

Which of the following best describes the relationship between the computed mean and the actual​ mean? Low Temperature (°F) Frequency 40-44 1 45-49 6 50-54 12 55-59 7 60-64 2

The computed mean is not close to the actual mean because the difference between the means is more than​ 5% of the actual mean.

Which of the following best discribes the relationship between the computed mean and the actual​ mean? Speed (miles per hour) Frequency 42-45 29 46-49 16 50-53 6 54-57 3 58-61 2

The computed mean is close to the actual mean because the difference between the means is less than​ 5%.

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. 20, 33, 5, 71, 17, 99, 41, 46, 23, 76, 69 What do the results tell us?

The jersey numbers are nominal data and they do not measure or count​ anything, so the resulting statistics are meaningless.

Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6​ W/kg or less. 1.34, 0.88, 0.68, 0.55, 0.91, 0.99, 0.23, 1.53, 0.61, 1.35, 1.04 If you are planning to purchase a cell​ phone, are any of the measures of center the most important​ statistic? Is there another statistic that is most​ relevant? If​ so, which​ one?

The maximum data value is the most relevant​ statistic, because it is closest to the limit of​ 1.6W/kg and that cell phone should be avoided.

Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Male: 93, 82, 60, 81, 88, 64, 52, 75, 56, 57, 60, 69, 63, 96, 70 Female: 79, 63, 95, 95, 82, 71, 87, 87, 92, 83, 75, 95, 62, 69, 70 Compare the results. Choose the correct answer below.

The mean and the median for males are both lower than the mean and the median for females.

Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. 98.0, 99.3, 96.5, 98.2, 96.9, 96.8, 97.3, 98.4, 97.8, 98.4, 98.3, 98.9, 98.4, 97.0, 97.4, 96.7, 99.4, 96.7, 98.7, 98.3, 99.4, 96.7, 96.7, 97.3, 97.0, 98.2, 97.2, 97.6, 97.2, 97.1, 98.6, 97.3, 99.3, 99.2, 98.8, 98.0, 99.5, 98.3, 99.3, 96.5, 99.2, 97.2, 98.0, 96.8, 99.3, 99.2, 98.5, 97.9 Do the results support or contradict the common belief that the mean body temperature is 98.6°​F?

The results contradict the belief that the mean body temperature is 98.6°F because both the mean and the median are less than 98.6°F.

A defunct website listed the​ "average" annual income for Florida as​ $35,031. What is the role of the term average in​ statistics? Should another term be used in place of​ average?

The term average is not used in statistics. The term mean should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values.

Waiting times​ (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Single line: 6.3, 6.6, 6.7, 7, 7.1, 7.4, 7.7, 7.7, 7.7 Individual lines: 4, 5.3, 6, 6.2, 6.4, 7.7, 7.7, 8.5, 9.2, 10 Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If​ so, what is​ it?

The times for customers in individual lines are much more varied than the times for customers in a single line.

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. 49, 70, 70, 70, 75, 75, 95, 105, 110, 125, 175, 175, 225, 234, 250, 250, 300, 350, 400, 425, 425, 425, 425, 1500, 2500 Are there any​ outliers? Choose the correct answer below.

The values ​$1500 and ​$2500 appear to be outliers.

Listed below are the highest amounts of net worth​ (in millions of​ dollars) of all celebrities. 265, 190, 185, 165, 155, 155, 150, 150, 150, 150 Based on the nature of the​ amounts, what can be inferred about their​ precision?

The values all end in 0 or​ 5, so they appear to be rounded estimates.

Which of the following is NOT a measure of​ center?

census

Methods used that summarize or describe characteristics of data are called​ _______ statistics.

descriptive

Use the magnitudes​ (Richter scale) of the earthquakes listed in the data set below. 2.18, 2.57, 1.56, 1.47, 2.54, 0.74, 0.45, 2.27, 2.85, 1.49, 1.53, 0.36, 2.08, 1.86, 2.21, 2.98, 1.44, 1.38, 1.71, 1.66, 2.13, 1.69, 0.06, 2.56, 0.23, 0.94, 1.33, 1.89, 2.68, 1.64, 2.84, 0.83, 2.81, 2.21, 1.58, 1.17, 0.55, 2.27, 2.62, 1.16, 1.83, 1.37, 2.76, 0.36, 0.62, 2.82, 1.76, 0.91, 1.54, 1.47 Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier when considered in the context of the sample data​ given?

​Yes, because this value is very far away from all of the other data values.