Problem 2. Assume the mean income per person in the United States is $50,000, and the incomes follow a normal distribution. A random sample of 26 residents in Atlanta, GA had a mean of $60,000 with a standard deviation of $10,000. You are interested in whether the average income in Atlanta is higher than the national average. a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.05 significance level and state your conclusion.

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