Earnings A sociologist says, “Typically, men in the United States still earn more than women.” What does this statement mean ? (Pick the best choice.) a. All men make more than all women in the United States. b. All U.S. women’s salaries are less varied than all men’s salaries. c. The center of the distribution of salaries for U.S. men is greater than the center for women. d. The highest-paid people in the United States are men.

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Answer 1

Textbook Question

Chapter 3, Problem 1SE

Earnings A sociologist says, “Typically, men in the United States still earn more than women.” What does this statement mean? (Pick the best choice.)

a. All men make more than all women in the United States.

b. All U.S. women’s salaries are less varied than all men’s salaries.

c. The center of the distribution of salaries for U.S. men is greater than the center for women.

d. The highest-paid people in the United States are men.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

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01:28

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Answer 2

Textbook Question

Chapter 3, Problem 1SE

Earnings A sociologist says, “Typically, men in the United States still earn more than women.” What does this statement mean? (Pick the best choice.)

a. All men make more than all women in the United States.

b. All U.S. women’s salaries are less varied than all men’s salaries.

c. The center of the distribution of salaries for U.S. men is greater than the center for women.

d. The highest-paid people in the United States are men.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

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01:28

Answer 3

Textbook Question

Chapter 3, Problem 1SE

Earnings A sociologist says, “Typically, men in the United States still earn more than women.” What does this statement mean? (Pick the best choice.)

a. All men make more than all women in the United States.

b. All U.S. women’s salaries are less varied than all men’s salaries.

c. The center of the distribution of salaries for U.S. men is greater than the center for women.

d. The highest-paid people in the United States are men.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

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01:28

Answer 4

Textbook Question

Chapter 3, Problem 1SE

Earnings A sociologist says, “Typically, men in the United States still earn more than women.” What does this statement mean? (Pick the best choice.)

a. All men make more than all women in the United States.

b. All U.S. women’s salaries are less varied than all men’s salaries.

c. The center of the distribution of salaries for U.S. men is greater than the center for women.

d. The highest-paid people in the United States are men.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

Answer 8

Expert Solution & Answer

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”

Answer 12

Answer to Problem 1SE

The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Answer 13

Explanation of Solution

Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.

Reasons for correct answer:

According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.

Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”

Reasons for incorrect answer:

The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.

Hence, option (a) is incorrect.

According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.

Hence, option (b) is incorrect.

The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.

Hence, option (d) is incorrect.

Answer 14

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