Identify the two factors (explanatory variables). Identify the response variable.

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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 + ...

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

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Answer 2

Question

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 + ...

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

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 + ...

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

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 + ...

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

Answer 6

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

Answer 7

Chapter 4.4, Problem 50PB

a.

To determine

Identify the two factors (explanatory variables).

Identify the response variable.

Answer 8

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

Answer 9

b.

To determine

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

Answer 10

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

Answer 11

c.

To determine

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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Identify the two factors (explanatory variables). Identify the response variable.

Solution Summary: The author explains that a two-factor experiment is designed to determine whether results depend on gender.

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Identify the two factors (explanatory variables).

Identify the response variable.

Mention what could be concluded in the study if it did only a one-factor analysis on diet, not having the information about gender by looking at the overall results.

Explain what is studied from the two-factor study that would have missed by doing a one-factor study on diet alone or a one-factor study on gender alone.

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