Avice president in charge of sales for a large corporation claims that the sales personnel are averaging no morethan 15 sales contacts per week. as a check on his claim, n = 36 salespersons are selected at random, and the number of weekly contacts made by each is recorded. suppose the sample mean contacts was17, and that the population variance is known to beequal to 9. answer the following questions: a)does theevidence contradict the vice president’s claim, i. e. do we have enough evidence to support the claim "the sales personnel are averaging more than 15 sales contacts per week"? use a significance level α=0.05.(assume that n=36 is large enough, so that you can apply the central limit theorem).