In Exercises 29 and 30, construct the confidence interval for s2 1 s2 2. Assume the

Chapter 10, Problem 29

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In Exercises 29 and 30, construct the confidence interval for s2 1 s2 2. Assume the samples are random and independent, and the populations are normally distributed. Cholesterol Contents In a recent study of the cholesterol contents ofgrilled chicken sandwiches served at fast food restaurants, a nutritionistfound that random samples of sandwiches from Restaurant A and fromRestaurant B had the sample statistics shown in the table. Construct a95% confidence interval for s21 s22, where s21 and s22 are the variances ofthe cholesterol contents of grilled chicken sandwiches from Restaurant Aand Restaurant B, respectively. (Adapted from Burger King Brands, Inc. andMcDonalds Corporation.)Cholesterol contents ofgrilled chicken sandwichesRestaurant A Restaurant Bs21 = 10.89 s22 = 9.61n1 = 16 n2 = 12Carbohydrate contents ofgrilled chicken sandwichesRestaurant A Restaurant Bs21 = 5.29 s22 = 3.61n1 = 16 n2 = 12TABLE FOR EXERCISE 29 TABLE FOR EXERCISE 30

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