A bank with branches located in a commercial district of a city and in a residential area has the business objective of

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A Bank With Branches Located In A Commercial District Of A City And In A Residential Area Has The Business Objective Of 1 (114.45 KiB) Viewed 109 times

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 P.M. lunch 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 from 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 difference in the mean waiting time between the two branches? (Use a =0.05.) Let Hy be the mean walting time of the commercial district branch and 2 be the mean walting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. X Waiting time data - B. Ho: P1 V2 Hy: 2 OD. How 12 H:H *2 OA HO 1152 Hy: Hq ²12 oC. Họ P1 * P2 Hy: 49 H2 Find the test statistic. ISTAT-O (Round to two decimal places as needed.) Find the critical value(s). Commercial Residential 4.21 9.58 5.56 5.81 3.04 8.01 5.31 5.64 4.56 8.57 2.67 3.84 3.47 8.25 3.02 8.53 4.68 10.43 6.08 6.83 0.26 5.68 5.07 4.13 6.35 6.01 6.48 9.82 3.58 5.38 (Use a comma to separate answers as needed. Round to two decimal places as needed.) ) Choose the correct conclusion below Print Done O A. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ B. . OB. Do not reject Ho. 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 differ, OD. Do not reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. b. ) . b. Determine the p-value in (a) and interpret its meaning D-value = (Round to three decimal places as needed.) Interpret the p-value. Choose the correct answer below. p . A. It is the probability of obtaining a sample that yields a t-test statistic farther away from O in either direction than the computed test statistic if there is no difference in the mean waiting time between commercial and residential banks. OB. It is the probability of obtaining a sample that yields a t-test statistic farther away from O in the negative direction than the computed test statistic if there is no difference in the mean waiting time between commercial and residential banks a OC. It is the probability the two banks have different population mean waiting times, OD. It is the probability of obtaining a sample that yields a t-test statistic farther away from O in the positive direction than the computed test statistic if there is no difference in the mean waiting time between commercial and residential banks. c. In addition to equal variances, what other assumption is necessary in (a)? O A 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. d. Construct and interpret a 95% confidence interval estimate of the difference between the population means between the two branches The 95% confidence interval is SH-250 (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 banksfalls above the upper confidence interval limit. OB. With 95% confidence, the difference between the population mean waiting time between the two banks falls in this interval. OC. With 5% confidence, 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