Question

A psychology student conducted a study on using a chief executive officer's facial structure to predict a firm's financial performance. The facial width-to-height ratio (WHR) for each in a sample of 50 CEOs at publicly traded firms was determined. The sample resulted in x = 1.99 and s = 0.61. The student wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOs. The student wants to use the value of p= 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, including Ho, Hg, test statistic, p-value, and your conclusion. Test at a = 0.10. What are the null and alternative hypotheses? O A. Ho Ho = 2.2 Ha Ho #2.2 C. Ho Ho = 2.2 Ha: Ho > 2.2 OB. Ho: Ho #2.2 H : Ho = 2.2 OD. Ho Ho = 2.2 Hà: Ho <2.2 What is the value of the test statistic? za (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) What is the appropriate conclusion at a=0.10? O A. Do not reject Ho. There is insufficient evidence to conclude the true mean facial WHR is not 2.2. O B. Reject Ho. There is sufficient evidence to conclude that the true mean facial WHR is not 2.2. OC. Reject Ho. There is insufficient evidence to conclude that the true mean facial WHR is not 2.2. OD. Do not reject Ho. There is sufficient evidence to conclude the true mean facial WHR is not 2.2.

Answer 1

Solution :

null and alternative

A)

H0 : u = 2.2

H1 : u =/ 2.2

z = (x - u) / (s / sqrt(n))

= (1.99 - 2.2 ) / ( 0.61 / sqrt ( 50 ))

z = -2.4343

The P-Value is 0.014921.

The result is significant at p < .10.

B. Reject Ho. There is sufficient evidence to conclude that the true mean facial is not 2.2.