Economics: Cost of Living Index In the following data

Chapter , Problem 16

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Economics: Cost of Living Index In the following data pairs, A represents the cost of living index for utilities and B represents the cost of living index for transportation. The data are paired by metropolitan areas in the United States. A random sample of 46 metropolitan areas gave the following information. (Reference: Statistical Abstract of the United States, 121st edition.)

i. Let d be the random variable d = A - B. Use a calculator to verify that \(\overline{d} \approx -5.739\) and \(s_d \approx 15.910\).

ii. Do the data indicate that the U.S. population mean cost of living index for utilities is less than that for transportation in these areas? Use \(\alpha = 0.05\).

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