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 6.209 (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 I = 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 # = 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: Hor Har test statistic, p-value, a, and your conclusion. Additional questions: For o = 0.05, please specify: 1. The parameter of interest. 2. Ho and Ha 3. Test statistic and its sampling distribution 4. Rejection region (RR) and your conclusion based on R.R 5. p-value and your conclusion based on p-valueProblem 3 [20pt, 5pt for (1) and (2), 10 pt for (3)] Questions for Problem & 1. Replicate the Minitab output with the provided file. 2. Use the Minitab output to test Ho : 4 = 300 vs. He : pp 20 at a =0.10. 7.46 SUPPORT FOR AN ENTREPRENEUR'S BACKERS PROJECT. Refer to the Academy of Management Journal (December 2019) study of crowdfunding backers for an entrepreneur's project, Exercise 6.10 0 (p. 319). Recall that the researchers collected data on the number of crowdfunding backers for each in a sample of 1,460 entrepreneurial projects pitched on the internet via video. The data is saved in the BACKERS file. Again, define a as the true mean number of crowdfunding backers for all entrepreneurial projects pitched via the internet. Suppose the researchers want to know if a differs from 200 using a statistical test of hypothesis. Use the accompanying Minitab printout to conduct the test. What is your conclusion? Explain why the 90% confidence interval (shown on the printout) will lead to the same conclusion. Descriptive Statistics N Mean StDev SE Mean 90% Cl for 1460 181.0 585.7 15.3 (155.8, 206.2) it mean of Backers Test Null hypothesis Hop = 200 Alternative hypothesis Hi:p x 200 3. Explain why the 1 confidence interval shown in the picture will lead to the same conclusion.7.33 RIDE SHARE PROFITS. Stanford University researchers published an MIT working paper titled \"The Economics of Ride Hailing: Driver Revenue, Expenses, and Taxes\" (February 2020). One of the objectives of the study was to determine Whether ride-share drivers at Uber and Lyft actually make a prot. Data collected from a sample of 1,121 rideshare drivers yielded a mean monthly prot 5 = $661 with standard deviation .9 = $583. An Uber executive reports that p, the true mean monthly prot of all its ride-share drivers, is $1,000. You want to test the executive's gure using a : .10. a. Set up the null and alternative hypotheses for the test. Assume that you believe the true mean monthly prot is less than $1,000. b. Find the rejection region for the test. c. Compute the test statistic. (I. Use statistical software to find the p-value for the test. e. What is your conclusion? Show that the conclusion is the same whether you use the rejection region or p- value