We are interested in mean household income in Richmond. Using data on 1200 households, we calculate a mean of $100,000 and a variance of 60,000 ^2 a. What is the sampling distribution of sample mean household income from a sample of 1200 households? b. Test the hypothesis (using \alpha = 0.05) that mean household income in Richmond is at least $120,000. c. Construct a 95% confidence interval for mean household income in Richmond.

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