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1.Suppose we know that, historically, the standard deviation of annual rainfall in a particular state is 2 inches. (8 points total) a.We measure rainfall in

1.Suppose we know that, historically, the standard deviation of annual rainfall in a particular state is 2 inches. (8 points total)

a.We measure rainfall in that area for 35 years, and we find an average of 37 inches per year. What is the 95% confidence interval for the average rainfall? [5 points]

b.How many years of data would we need if we want to estimate the actual average within less than plus-or-minus 0.5 inches at 95% confidence? [3 points]

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