Expand Your Knowledge: Confidence Intervals for md Using

Chapter , Problem 20

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Expand Your Knowledge: Confidence Intervals for md Using techniques from Section 8.2, we can find a confidence interval for md. Consider a random sample of n matched data pairs A, B. Let d B A be a random variable representing the difference between the values in a matched data pair. Compute the sample mean of the differences and the sample standard deviation sd. If d has a normal distribution or is mound-shaped, or if n 30, then a confidence interval for md is where c confidence level (0 c 1) tc critical value for confidence level c and d.f. n 1 (a) Using the data of problem 7, find a 95% confidence interval for the mean difference between percentage increase in company revenue and percentage increase in CEO salary. (b) Use the confidence interval method of hypothesis testing outlined in problem 23 of Section 9.2 to test the hypothesis that population mean percentage increase in company revenue is different from that of CEO salary. Use a 5% level of significance.

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