In a psychology journal, researchers reported that a chief executive officer's facial structure can be used to predict a firm's financial performance. The study involved measuring the facial width-to-height ratio (WHR) for each in asample of 69 CEOS at publicly traded Fortune 500 firms. These WHR values (determined by computer analyzing a photo of the CEO's face) had a mean of x= 2.03 and a standard deviation of s = 0.17. Use this information tocomplete parts a and b below.a. Find and interpret a 90% confidence interval for u, the mean facial WHR for all CEOS at publicly traded Fortune 500 firms.(Round to three decimal places as needed.)O A. The 90% confidence interval for mean facial WHR indicates that the true mean facial WHR for all CEOS at publicly traded Fortune 500 firms is betweenandwith 90% confidence.O B. The 90% confidence interval for mean facial WHR indicates that the true mean facial WHR for the CEOS in the sample is betweenandwith 90% confidence.O C. The 90% confidence interval for mean facial WHR score indicates that 90% of CEOS in the sample have a WHR betweenandO D. The 90% confidence interval for mean facial WHR indicates that 90% of all CEOS at publicly traded Fortune 500 firms have a WHR betweenandb. The researchers found that CEOS with wider faces (relative to height) tended to be associated with firms that had greater financial performance. They based their inference on an equation that uses facial WHR to predictfinancial performance. Suppose 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 u = 2.2. Do yourecommend the use this value?O A. No, since the suggested value of u does not lie within the confidence interval from part a, it is not reasonable to assume that it is the true mean facial WHR of CEOS.O B. No, since the suggested value of u would be a usual value to obtain in a sample of 69 CEOS, it is not reasonable to assume that it is the true mean facial WHR of CEOS.O C. Yes, since the suggested value of u lies within the confidence interval from part a, it is reasonable to assume that it is the true mean facial WHR of CEOS.O D. Yes, since the suggested value of u would be a usual value to obtain in a sample of 69 CEOS, it is reasonable to assume that it is the true mean facial WHR of CEOS.

Name: In a psychology journal, researchers reported that a chief executive
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: In a psychology journal, researchers reported that a chief executive officer's facial structure can be used to predict a firm's financial performance. The study involved measuring the facial width-to-height ratio (WHR) for each in asample of 69 CEOS

Solution : Given : n= 69, x¯ = 2.03, s = 0.17, confidence level = 0.90 ∴ α = 0.1 a)…

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In a psychology journal, researchers reported that a chief executive officer's facial structure can be used to predict a firm's financial performance. The study involved measuring the facial width-to-height ratio (WHR) for each in a sample of 69 CEOS at publicly traded Fortune 500 firms. These WHR values (determined by computer analyzing a photo of the CEo's face) had a mean of x= 2.03 and a standard deviation of s= 0.17. Use this information to complete parts a and b below. a. Find and interpret a 90% confidence interval for u, the mean facial WHR for all CEOS at publicly traded Fortune 500 firms. (Round to three decimal places as needed.) O A. The 90% confidence interval for mean facial WHR indicates that the true mean facial WHR for all CEOS at publicly traded Fortune 500 firms is between and with 90% confidence. O B. The 90% confidence interval for mean facial WHR indicates that the true mean facial WHR for the CEOS in the sample is between and with 90% confidence. O C. The 90% confidence interval for mean facial WHR score indicates that 90% of CEOS in the sample have a WHR between and O D. The 90% confidence interval for mean facial WHR indicates that 90% of all CEOS at publicily traded Fortune 500 firms have a WHR between and b. The researchers found that CEOS with wider faces (relative to height) tended to be associated with firms that had greater financial performance. They based their inference on an equation that uses facial WHR to predict financial performance. Suppose 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 u = 2.2. Do you recommend the use this value? O A. No, since the suggested value of u does not lie within the confidence interval from part a, it is not reasonable to assume that it is the true mean facial WHR of CEOS. O B. No, since the suggested value of u would be a usual value to obtain in a sample of 69 CEOS, it is not reasonable to assume that it is the true mean facial WHR of CEOS. O C. Yes, since the suggested value of u lies within the confidence interval from part a, it is reasonable to assume that it is the true mean facial WHR of CEOS. O D. Yes, since the suggested value of u would be a usual value to obtain in a sample of 69 CEO,, it is reasonable to assume that it is the true mean facial WHR of CEOS.