# Question: In 2009 the average fee paid by H R Block tax

In 2009, the average fee paid by H&R Block tax preparation customers was $187. Assume that the standard deviation of fees was $60 but that we have no idea regarding the shape of the population distribution.

a. What additional assumption about the population would be needed in order to use the standard normal table in determining the probability that the mean fee for a simple random sample of 5 customers was less than $170?

b. What is the probability that the mean fee for a simple random sample of 36 customers was less than $170? What role does the central limit theorem play in making it possible to determine this probability?

a. What additional assumption about the population would be needed in order to use the standard normal table in determining the probability that the mean fee for a simple random sample of 5 customers was less than $170?

b. What is the probability that the mean fee for a simple random sample of 36 customers was less than $170? What role does the central limit theorem play in making it possible to determine this probability?

**View Solution:**## Answer to relevant Questions

Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, with a standard deviation of 1.5 minutes. The distribution is positively skewed, since persons who ...Based on past experience, 20% of the contacts made by a firm’s sales representatives result in a sale being made. Charlie has contacted 100 potential customers but has made only 10 sales. Assume that Charlie’s contacts ...The overall pass rate for law school graduates taking the Maryland bar exam has been reported as 76%. Assume that a certain Maryland law school has had 400 of its most recent graduates take the Maryland bar exam, but only ...There are 1254 machinery rebuilding and repairing companies in the United States. A tool manufacturer wishes to survey a simple random sample of these firms to find out what proportion of them are interested in a new tool ...“In surveying a simple random sample of 1000 employed adults, we found that 450 individuals felt they were underpaid by at least $3000. Based on these results, we have 95% confidence that the proportion of the population ...Post your question