11.1)

ABC Auditors is investigating client response time when members of its staff follow up with clients requesting additional information. Currently, auditors claim that it takes more than five days for a client to respond with the requested information. To examine this claim, a partner at ABC Auditors asks a random sample of 10 employees to report the number of days it takes clients to respond to their inquiries. The following are the results of this random sample:

2 7 4 8 9 5 11 3 7 4

Can ABC Auditors conclude at the 5% significance level that it takes more than five days for a client to respond to inquiries assuming that the number of days is normally distributed with a standard deviation of 1.5?

Explain. All work must be shown.