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31. The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company
31. The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, Chapter 9 Hypothesis Tests 2009). Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight-ounce servings with a standard deviation of s = 101.9 ounces. Using a = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta? 32. According to the National Automobile Dealers Association, the mean price for used cars is $10,192. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the popu- lation mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are shown in the file named Used- Cars. a. Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership. b. What is the p-value? At a = .05, what is your conclusion? 33. Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006). Being from the Midwest, you believe milk consumption is higher there and wish to support your opinion. A sample of 16 individuals from the midwestern town of Webster City showed a sample mean annual consumption of 24.1 gallons with a standard deviation of s = 4.8. a. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean. b. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? c. At a = .05, test for a significant difference. What is your conclusion
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