A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 PM. unch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses fro when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch. Complete parts (a) through (d) below a. Assuming that the population variances from both banks are equal, is there evidence of a diference in the mean waiting time between the two branches? (Use a0.05) Let p, be the mean waiting time of the commercial district branch and pa be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the corect answer below OA Ho S2 B. Ho 2 Waiting time data OD. He"2 He 2 OC. Ho 2 Commercial Residential 4.21 9.58 5.56 3.04 5.31 4.56 2.67 3.47 581 8.01 4 Find the test statistic. "STAT O 5.64 (Round to two decimal places as needed.) 8.57 7 3.84 Find the critical value(s) 3.02 4.68 6.08 0.26 5.07 6.35 8.25 8.53 10.43 6.83 5.68 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. 4.13 6.01 9.82 5.38 OA. Reject Hg. There is insufficient evidence that the mean waiting time between the two branches difer. OB. Do not reject Mg. There is sufficient evidence that the mean waiting time between the two branches differ. OC. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches difer. OD. Do not reject H There is insufficient evidence that the mean waiting time between the two branches differ. 6.48 3.58 Print Done b. Determine the p-value in (a) and interpret its meaning value O (Round to three decimal places as needed.) Interpret the p-value. Choose the correct answer below A. Ris the probability of obtaining a sample that yields a tMest statistic farther away from 0 in either direction than the computed test statistic if there is no diference in the mean waiting time between commercial and residential banks. OB. Ris the probability of obtaining a sample that yields a ttest statistic farther away from 0 in the negative direction than the computed test statistic if there is no diference in the mean waiting time between commercial and residential banks OC. Ris the probability the two banks have diferent population mean waiting times. OD. t is the probability of obtaining a sample that yields a ttest statistic farther away from Oin the positive direction than the computed test statistic there is no diference in the mean waiting time between commercial and residential banks. e. In addition to equal variances, what other assumption is necessary in (a)? OA. Both sampled populations are not approximately normal. OB. The samples are specifically chosen and not independently sampled. OC. Both sampled populations are approximately normal. OD. The sample sizes must be equal. Construct and interpret a 95% confidence interval estimate of the difference between the population means between the two branches. The 95% confidence interval iss "2U (Round to three decimal places as needed.) Interpret the confidence interval. Choose the correct answer below OA With 5% confidence, the difference between the population mean waiting time between the two banks falls above the upper confidence interval imit. OB. With 95% confidence, the diference between the population mean waiting time between the two banks falls in this interval. OC. With 5% oonfidence, the difference between the population mean waiting time between the two banks falls below the lower confidence interval limit. OD. With 95% confidence, the difference between the population mean waiting time between the two banks falls outside this interval.