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Commercial   Residential 4.17                9.79 5.38                5.97 3.22                8.09 5.42                5.81 4.91                8.55

Commercial   Residential 4.17                9.79 5.38                5.97 3.22                8.09 5.42                5.81 4.91                8.55

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Commercial   Residential
4.17                9.79
5.38                5.97
3.22                8.09
5.42                5.81
4.91                8.55
2.59                3.97
3.53                8.11
3.01                8.66
4.69               10.35
6.17                6.98
0.33                5.67
5.13                4.05
6.35                6.15
6.47                9.85
3.98                5.67

b. Determine the p-value in (a) and interpret its meaning. p-value = (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 either direction than the computed test statistic if there is no difference in the mean waiting time between commercial and residential banks. O B. It is the probability the two banks have different population mean waiting times. 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. O D. 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. 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 specifically chosen and not independently sampled. O C. Both sampled populations are approximately normal. O D. 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, -4, s (Round to three decimal places as needed.)
Transcribed Image Text:b. Determine the p-value in (a) and interpret its meaning. p-value = (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 either direction than the computed test statistic if there is no difference in the mean waiting time between commercial and residential banks. O B. It is the probability the two banks have different population mean waiting times. 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. O D. 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. 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 specifically chosen and not independently sampled. O C. Both sampled populations are approximately normal. O D. 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, -4, s (Round to three decimal places as needed.)
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. Iunch 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 = 0.05.) Let u, be the mean waiting time of the commercial district branch and u, be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. O A. Ho: H1 = H2 O B. Ho: H1 H2 H1: H1 =H2 O C. Ho: H12 H2 O D. Ho: H1 <H2 H7: H1> H2 H1: H1 <H2 Find the test statistic. tSTAT = (Round to two decimal places as needed.) Find the critical value(s). (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 H,. There is sufficient evidence that the mean waiting time between the two branches differ. O B. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. OC. Do not reject Hn. There is insufficient evidence that the mean waiting time between the two branches differ. O D. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ.
Transcribed Image Text: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. Iunch 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 = 0.05.) Let u, be the mean waiting time of the commercial district branch and u, be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. O A. Ho: H1 = H2 O B. Ho: H1 H2 H1: H1 =H2 O C. Ho: H12 H2 O D. Ho: H1 <H2 H7: H1> H2 H1: H1 <H2 Find the test statistic. tSTAT = (Round to two decimal places as needed.) Find the critical value(s). (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 H,. There is sufficient evidence that the mean waiting time between the two branches differ. O B. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. OC. Do not reject Hn. There is insufficient evidence that the mean waiting time between the two branches differ. O D. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ.
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