To verify: Whether the degrees of freedom given by the JMP output is correct.

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Answer 1

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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 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

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This exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainz

Answer 2

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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 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

Expert Solution & Answer

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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 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

Expert Solution & Answer

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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 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

Expert Solution & Answer

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Answer 5

Chapter 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

Answer 6

Chapter 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

Answer 7

Chapter 25.6, Problem 11AYK

a.

To determine

To verify: Whether the degrees of freedom given by the JMP output is correct.

Answer 8

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

Answer 9

b.

To determine

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

Answer 10

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

Answer 11

c.

To determine

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 25.1 - Prob. 1AYK Ch. 25.1 - Prob. 2AYK Ch. 25.2 - Prob. 3AYK Ch. 25.2 - Prob. 4AYK Ch. 25.3 - Prob. 5AYK Ch. 25.3 - Prob. 6AYK Ch. 25.5 - Prob. 7AYK Ch. 25.5 - Prob. 8AYK Ch. 25.5 - Prob. 9AYK Ch. 25.6 - Prob. 10AYK

To verify: Whether the degrees of freedom given by the JMP output is correct.

To verify: Whether the degrees of freedom given by the JMP output is correct.

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D. To compare: The P-value obtained from JMP output with the P-value given in Table D.

To find: The mean of the chi-square statistic if the null hypothesis is true. To compare: The observed value of chi-square with the mean.

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Chapter 25 Solutions

To identify: Whether the chi-square value falls when compared with the critical values of the chi-square distribution with 4 degrees of freedom in Table D.

To compare: The P-value obtained from JMP output with the P-value given in Table D.

To find: The mean of the chi-square statistic if the null hypothesis is true.

To compare: The observed value of chi-square with the mean.