PROBLEM #3 A mail order business prides itself in its ability to fill customers' orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based upon this sample information, he decides whether the desired standard is being met. He will assume that the average number of days to fill customers' orders is six or less unless the data suggest strongly otherwise. a. Establish the appropriate null and alternative hypotheses. b. On one occasion where a sample of 40 customers was selected, the average number of days was 6.65, with a stander deviation of 1.5 days. Can the 1 operations manager conclude that his mail-order business is achieving its goal? Use a significance level of 0.025 to answer this