A hotel manager looks to improve the time it takes to deliver a guest's luggage to the room after check-in. A random sample of 20 deliveries on a particular day were selected in Wing A of the hotel, and a random sample of 20 deliveries were selected in Wing B. The results are shown in the accompanying data table. Determine whether there is a difference between the mean delivery times in the two wings of the hotel. (Use a = 0.01.] :: Click the Icon to view the data table To determine whether there is a difference between the mean delivery times, first porform an F test for the ratio of two variances to determine whether it can be assumed that the populations have equal variances. Assume that the population delivery times are normally distributed for each of the two wings of the hotel Let Wing A deliveries correspond to subscript "A" and let Wing B deliveries correspond to subscript "B." Identify the null and abomative hypotheses. Choose the correct answer below.A hotel manager looks to improve the time it takes to deliver a guest's luggage to the room after check-in A random sample of 20 deliveries on a particular day were selected in Wi "A of the hotel, and a random sample of 20 deliveries were solocked in Wing B. The results are shown in the accompanying data table. Determine whether there is a dilerence between the mean delivery times in the two wings of the hotel (Use a = 0 01.) Click the ican to view the data table OC. Ha DA 2 Identify the test statistic for this toot (Round to two decimal places as needed ) Identify the p-value for this test (Round to three decimal places as needed.) Determine the conclusion for this test. Choose the correct answer belowholed manager looks to Improve the time it takes to deliver a guest's luggage to the room after check-in A random sample of 20 deliveries on a particular day were selected In Wing of the hotel, and a random sample of 20 deliveries were selected in Wing B. The results are shown in the accompanying data table. Determine whether there is a difference between the mean delivery times in the two wings of the hotel. (Use a = 0.01,) Click the icon to view the data table. As was done previously. let Wing A deliveries correspond to subscript TA" and let Wing B deliveries correspond to subscript "B"Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ha HA HA =0 OB. H FA -PR #0 H, Ha - He XO O C. Ho HA -HE 20 OD. He HA - HE SO H, HA PPQ Identify the test statistic for this test. (Round to two decimal places as needed )A hotel manager looks to improve the time it takes to deliver a quest's luggage to the room after check In, A random sample of 20 deliveries on a particular day were selected in Wing A of the hotel, and a random sample of 20 deliveries were selected in Wing B. The results are shown in the accompanying data table. Determine whether there is a difference between the moan delivery times in the two wings of the hotel (Use a = 0,01.) Click the icon to view the data table. OA H PA- HAD OB, Ho PA - HA CO OC. Ho PA PA >0 Idontify the test statistic for this test (Round to two decimal places as needed ) Identify the p-value for this tout (Round to three decimal places as needed )