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 waitingtime 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.Click the icon to view the bank branch data.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 α=0.01.)Let μ, be the mean waiting time of the commercial district branch and μ₂ be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below.OA. Ho: H₁ H₂H₁: H₁ H₂OC. Ho: H₁ H₂H₁: H₁ H₂Find the test statistic.tSTAT = -4.04(Round to two decimal places as needed.)Find the critical value(s).2.76, -2.76(Use a comma to separate answers as needed. Round to two decimal places as needed.)Choose the correct conclusion below.CO A. Do not reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ.O B. Reject Ho. There is insufficient 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.D. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ.OB. Ho: H₁ H₂H₁ H₁ H₂D. Ho: H₁ H¹2H₁: H₁H₂Waiting Time DataCommercial4.185.743.115.424.962.723.363.074.337:206.070.445.046.366.193.97PrintResidential9.985.788.215.528.873.778.198.3410.55G GE6.655.684.056.379.975.38DoneQ- X b. Determine the p-value in (a) and interpret its meaning.p-value = 0.000(Round to three decimal places as needed.)Interpret the p-value. Choose the correct answer below.O 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 i no difference in the mean waiting time between commercial and residential banks.OB. It is the probability the two banks have different population mean waiting times.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 commercial and residential banks.O D. 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)?A. Both sampled populations are approximately normal.OB. The samples are specifically chosen and not independently sampled.O C. Both sampled populations are not approximately normal.O D. The sample sizes must be equal.d. Construct and interpret a 99% confidence interval estimate of the difference between the population means between the two branches.The 99% confidence interval isμ₁ -₂.(Round to three decimal places as needed.)

As per the guidelines of Bartleby,solution of only first 3 parts is given.

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. Click the icon to view the bank branch data. 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 = 0.01.) Let μ, be the mean waiting time of the commercial district branch and μ₂ be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁>#₂ Find the test statistic. ISTAT= -4.04 (Round to two decimal places as needed.) Find the critical value(s). 2.76, -2.76 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. O A. Do not reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. OB. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. OC. Do not reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. D. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. OB. Ho: ₁2₂ H₁ H₁ H₂ D. Ho: #₁ = 1₂ H₁ H₁ H₂ Waiting Time Data Commercial Residential 4.18 5.74 9.98 5.78 3.11 5.42 4.96 2.72 3.36 3.07 4.33 6.07 0.44 5.04 6.36 6.19 3.97 [1] Print 8.21 5.52 8.87 3.77 8.19 8.34 10.55 6.65 5.68 4.05 6.37 9.97 5.38 Done D - X

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P