Statement of a problem № m40554


According to the Internet source, per-capita U.S. beer consumption increased in 2008 after several years of decline. Current per-capita consumption is 22 gallons per year. A survey is designed to determine if the per-capita consumption has changed in the current year. A hypothesis test is to be conducted using a sample size of 1,500, a significance level of 0.01, and a standard deviation of 40. Determine the probability that the test will be able to correctly detect that the per-capita consumption has changed if it has declined by 10%.

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