Bank A and Bank B have each developed an improved process for serving customers. The waiting period from the moment a customer enters until he or she reaches the counter needs to be shortened. A random sample of 10 customers is selected from each bank and the results (in minutes) are shown in the accompanying data table. Complete parts (a) through (d). :Click the icon to view the table. a. Assuming that the population variances from both banks are equal, is there evidence of a difference in the mean waiting time between the two branches? (Use a = 0.1.) Determine the hypotheses. Let wy be the mean waiting time of bank A and uz be the waiting time of bank B. Choose the correct answer below. O A. Ho: H1 # 142 OB. HO: H1 = 12 H1: H1 = H2 H1: 141 = 12 O C. Ho: H1 2 142 OD. HO: H1 S H2 H1: 41 = H2 H 1: 141 > H2 Find the test statistic. Test Statistic = (Round to two decimal places as needed.) Find the critical value(s). Use a comma to separate answers as needed. Round to three decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. O B. Do not reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. O C. Do not reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. O D. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. b. Determine the p-value in (a) and interpret its meaning. p-value = Round to four decimal places as needed.) Interpret the p-value. Choose the correct answer below. A. It is the probability of obtaining a sample that yields a t test statistic farther away from 0 in the negative direction than the computed test statistic if there is no difference in the mean waiting time between Bank A and Bank B. O B. It is the probability of obtaining a sample that yields a t test statistic farther away from 0 in the positive direction than the computed test statistic if there is no difference in the mean waiting time between Bank A and Bank B. O C. It is the probability of obtaining a sample that yields a t test statistic farther away from 0 in either direction than the computed test statistic if there is no difference in the mean waiting time between Bank A and Bank B. c. In addition to equal variances, what other assumption is necessary in (a)? O A. Both sampled populations are not approximately normal. O B. The samples are specifially chosen and not independently sampled. O C. Both sampled populations are approximately normal. O D. The sample sizes must be equal. d. Suppose that we were now informed that the standard deviation for both Banks is known: Bank A std. dev. =1.3 and Bank B sid. dev. = 2.3! This permits us to perform a Z-test for the difference of the 2 means. In this case, the Z-statistic would beBank A Bank B 2.61 3.58 2.53 4.28 3.68 4.06 3.83 5.84 3.08 5.86 4.27 6.81 4.01 3.04 4.38 7.65 5.37 8.17 5.34 10.13