The mean preparation fee H&R Block charged retail customers in 2012 was $183(The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50. Usez-table.

Round your answers to four decimal places.

a.What is the probability that the mean price for a sample of30H&R Block retail customers is within$8of the population mean?

b.What is the probability that the mean price for a sample of50H&R Block retail customers is within $8of the population mean?

c.What is the probability that the mean price for a sample of100H&R Block retail customers is within$8of the population mean?

d.Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a0.95probability that the sample mean is within$8of the population mean?

- Select your answer -

(a) Sample of 30 H&R Block retail customers

(b) Sample of 50 H&R Block retail customers

(c) Sample of 100 H&R Block retail customers

(d) None of the sample sizes in parts (a), (b), and (c) are large.

(e) All of the sample sizes in parts (a), (b), and (c) are large.