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Facial structure of CEOs. Refer to the Psychological
Chapter 7, Problem 35E(choose chapter or problem)
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.
Questions & Answers
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