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 fromwhen 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 u, be the mean waiting time of the commercial district branch and uz be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below.B. Ho: 1 2OA. Ho: 1 SH2H: 1 42H4:1 "2Waiting time dataOC. Ho: 1 Z2OD. Ho: H1 "P2Commercial ResidentialH: 1 <24.219.585.563.045.315.81Find the test statistic.8.01'STAT O(Round to two decimal places as needed.)5.644.568.573.842.67Find the critical value(s).3.478.258.533.024.6810.43(Use a comma to separate answers as needed. Round to two decimal places as needed.)6.086.835.680.26Choose the correct conclusion below.5.076.356.483.584.136.01OA. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ.9.825.38OB. Do not reject Hg. 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.PrintDoneb. Determine the p-value in (a) and interpret its meaning.p-value =O(Round to three 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 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 0 in the negative direction than the computed test statistic if there is no difference in the mean waiting time between commercial and residential banks.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 0 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)?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.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 Os41 -12s0(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 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.

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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 developing an improved process for serving customers during the noon-to-1 PM. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the numtb 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 a 0.05.) Let p be the mean waiting time of the commercial district branch and z be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. OA H S2 B. Ho 2 Waiting time data OG. Ho 2 OD. Hg "2 Commercial Residentialo 4.21 9.58 581 8.01 Find the test statistic. 5.56 3.04 5.31 4.56 2.67 3.47 3.02 4.68 6.08 "STAT "O (Round to two decimai places as needed.) 5.64 8.57 3.84 8.25 8.53 10.43 6.83 5.68 4.13 6.01 9.82 5.38 Find the critical value(s) (Use a comma to separate answers as needed. Round to two decimal places as needed.) 0.26 5.07 6.35 6.48 3.58 Choose the correct conclusion below. OA. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches dfer. B. Do not reject Ha. There is sufficient evidence that the mean waiting time between the two branches differ. O C. Reject Ho. There is sufficient evidence that the mean walting Sme between the two branches difer. OD. Do not reject H. There is insufficient evidence that the mean waiting time between the two branches differ. Print Done b. Determine the p-value in (a) and interpret its meaning p-value O (Round to three decimal places as needed.)

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS