Facial structure of CEOS. In Psychological Science (Vol. 22, 2011), 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 55 CEOS at publicly traded Fortune 500 firms. These WHR values (determined by computer analyzing a photo of the CEO's face) had a mean ofx = 1.96 and a standard deviation of s = .is. a. Find and interpret a 95% confidence interval for µ, the mean facial WHR for all CEOS at publicly traded Fortune 500 firms. 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 pre- dict financial performance. Suppose an analyst wants to predict the financial performance of a Fortune S00 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?

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7.21 Facial structure of CEOS. In Psychological Science (Vol.
22, 2011), 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 55 CEOS at publicly traded Fortune 500 firms. These
WHR values (determined by computer analyzing a photo
of the CEO's face) had a mean ofY = 1.96 and a standard
deviation of s = .15.
a. Find and interpret a 95% confidence interval for µ,
the mean facial WHR for all CEOS at publicly traded
Fortune 500 firms
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 pre-
dict 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 he use this value?
Transcribed Image Text:7.21 Facial structure of CEOS. In Psychological Science (Vol. 22, 2011), 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 55 CEOS at publicly traded Fortune 500 firms. These WHR values (determined by computer analyzing a photo of the CEO's face) had a mean ofY = 1.96 and a standard deviation of s = .15. a. Find and interpret a 95% confidence interval for µ, the mean facial WHR for all CEOS at publicly traded Fortune 500 firms 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 pre- dict 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 he use this value?
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