Facial structure of CEOs. Refer to the Psychological

Chapter 7, Problem 35E

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QUESTION:

Problem 35E

Facial structure of CEOs. Refer to the Psychological Science (Vol. 22, 2011) study on using a chief executive officer’s facial structure to predict a firm’s financial performance, Exercise 6.20 (p. 310). Recall that the facial width-to-height ratio (WHR) for each in a sample of 55 CEOs at publicly traded Fortune 500 firms was determined. The sample resulted in  and s = .15. An analyst wants to predict the financial performance of a Fortune 500 firm based on the value of the true mean facial WHR of CEOs. The analyst wants to use the value of  = 2.2. Do you recommend he use this value? Conduct a test of hypothesis for  to help you answer the question. Specify all the elements of the test: H0, Ha, test statistic, p-value, a, and your conclusion.

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QUESTION:

Problem 35E

Facial structure of CEOs. Refer to the Psychological Science (Vol. 22, 2011) study on using a chief executive officer’s facial structure to predict a firm’s financial performance, Exercise 6.20 (p. 310). Recall that the facial width-to-height ratio (WHR) for each in a sample of 55 CEOs at publicly traded Fortune 500 firms was determined. The sample resulted in  and s = .15. An analyst wants to predict the financial performance of a Fortune 500 firm based on the value of the true mean facial WHR of CEOs. The analyst wants to use the value of  = 2.2. Do you recommend he use this value? Conduct a test of hypothesis for  to help you answer the question. Specify all the elements of the test: H0, Ha, test statistic, p-value, a, and your conclusion.

ANSWER:

Solution :

Step 1 of 1:

From the given information we know that  and the standard deviation s=0.15.

The sample size n is 55.

Then the analyst wants to use the value of .

Our goal is:

We need to specify all the elements of the test , , test statistic, p-value,  and your conclusion.

We know that the true mean facial width-to-height ratio is .

From the given information we know that

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