Suppose the average number of returns processed by employees of a tax preparation service during tax season is

10

per day with a standard deviation of

6

per day. A random sample of 36 employees taken during tax season revealed the number of returns processed daily shown below. Use these data to answer parts a through c.

10	13	18	13	9	13	14	12	14	15	17	11	14	15	9	15	17	9
8	9	10	15	15	10	9	11	14	8	14	7	3	4	16	9	9	5

Part 1

a. What is the probability of having a sample mean equal to or smaller than the sample mean for this sample if the population mean is

10

processed returns daily with a standard deviation of

6

returns per day?

The probability is