You would like to construct a 99% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,202 dollars with a standard deviation of 7423 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars X 5 (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.)

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