Prove that the appropriate F -distributed test statistic can be expressed as follows: F = n − ( k + 1 ) k ( R 2 1 − R 2 )

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Answer 1

Question

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

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A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n = 10 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all. The dependent variable is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. (Hint: start with the df column). Source SS df MS Between ___ ___ 15 F = 7.50 Within ___ ___ ___ Total ___ ___

A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9n=9 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Start with the df column.) S.S. d.f. M.S. F Between 4.07 Within 2.71 TOTAL Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report answer accurate to at least 4 decimal places.

A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=10n=10 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Start with the df column.) S.S. d.f. M.S. F Between 6.68 Within 4.35 TOTAL Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report p-value accurate to at least 6 decimal places.If you use a significance level of α=.05α=.05, what would you conclude about these treatments?

Answer 2

Question

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Expert Solution & Answer

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Answer 3

Question

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Expert Solution & Answer

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Answer 4

Question

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Expert Solution & Answer

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Answer 5

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Answer 6

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

Answer 7

Chapter 11.14, Problem 84E

a.

To determine

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

Answer 8

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Answer 9

b.

To determine

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 11.3 - If 0 and 1 are the least-squares estimates for the...Ch. 11.3 - Prob. 2E Ch. 11.3 - Fit a straight line to the five data points in the...Ch. 11.3 - Auditors are often required to compare the audited...Ch. 11.3 - Prob. 5E Ch. 11.3 - Applet Exercise Refer to Exercises 11.2 and 11.5....Ch. 11.3 - Prob. 7E Ch. 11.3 - Laboratory experiments designed to measure LC50...Ch. 11.3 - Prob. 9E Ch. 11.3 - Suppose that we have postulated the model...

Prove that the appropriate F -distributed test statistic can be expressed as follows: F = n − ( k + 1 ) k ( R 2 1 − R 2 )

Solution Summary: The author demonstrates that the appropriate F -distributed test statistic can be expressed as follows: cn-(k+1)

Videos

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Want to see the full answer?

Chapter 11 Solutions

Prove that the appropriate F -distributed test statistic can be expressed as follows: F = n − ( k + 1 ) k ( R 2 1 − R 2 )

Solution Summary: The author demonstrates that the appropriate F -distributed test statistic can be expressed as follows: cn-(k+1)

Videos

Prove that the appropriate F-distributed test statistic can be expressed as follows: F=n−(k+1)k(R21−R2)

Describe how does the value of F from Part (a) is compared to the expression for the T statistic derived in Exercise 11.55 when k=1.

Want to see the full answer?

Chapter 11 Solutions

Prove that the appropriate F-distributed test statistic can be expressed as follows:

F=n−(k+1)k(R21−R2)