(Part2) SupposeSt. Louis Lambert InternationalAirport isstill concerned with the experiences of travelers whowaitingits terminal for flights. Theairport'smanagement team obtained a random sample of 100travelers and asked them how long they must wait for their next flight.In the sample, the average traveler had to wait180minutes (about 3 hours). Assumeyou do not know the actual population mean, but you do know that the population standard deviation is equal to92minutes (about 1 and a half hours). Using a significance level of 0.05, answer the questions below:

(a)Is there enough evidence to suggest that the populationmean forwaitingtimes isdifferent from160minutes (about 2 and a half hours)? Conduct a hypothesis using the test statistic method and interpret yourresult. Showall steps to your hypothesistest.

(b)Re-do part (a) using the p-valuemethod.

(c)Is your conclusion in parts (a) and (b) vulnerable to a Type I or Type II error?Explain.

(d)Re-do part (a) using a significance level of 0.01(or 1%).