Exercise 6.20 (p. 321). 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 T = 1.96 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 μ = 2.2. Do you recommend he use this value? Conduct a test of hypothesis for u to help you answer the question. Specify all the elements of the test: Ho, Ha, test statistic, p-value, a, and your conclusion.

MATLAB: An Introduction with Applications
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Please answer the question asked in 7.35 and, in addition, only the last question for when a=0.05.

 

In other words, please only do question 5 of the second picture and answer the question of the first pcture. 

For α = 0.05, please specify:

1. The parameter of interest.
2. \( H_0 \) and \( H_a \)
3. Test statistic and its sampling distribution
4. Rejection region (RR) and your conclusion based on RR
5. p-value and your conclusion based on p-value
Transcribed Image Text:For α = 0.05, please specify: 1. The parameter of interest. 2. \( H_0 \) and \( H_a \) 3. Test statistic and its sampling distribution 4. Rejection region (RR) and your conclusion based on RR 5. p-value and your conclusion based on p-value
**7.35 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. 321). 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 \(\bar{x} = 1.96\) 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 \(\mu = 2.2\). Do you recommend he use this value? Conduct a test of hypothesis for \(\mu\) to help you answer the question. Specify all the elements of the test: \(H_0\), \(H_a\), test statistic, \(p\)-value, \(\alpha\), and your conclusion.
Transcribed Image Text:**7.35 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. 321). 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 \(\bar{x} = 1.96\) 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 \(\mu = 2.2\). Do you recommend he use this value? Conduct a test of hypothesis for \(\mu\) to help you answer the question. Specify all the elements of the test: \(H_0\), \(H_a\), test statistic, \(p\)-value, \(\alpha\), and your conclusion.
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