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 number of minutes that elapses 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 m Click the icon to view the bank branch data H P2 OC. Hgi 22 D. H "2 Find the test statistic. STAT"-4.09 (Round to two decimal places as needed.) ) Find the critical value(s). <-2.05, 2.05 (Use a comma to separate answers as needed. Round to two decimal places as needed) Choose the correct conclusion below Waiting time data A. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. Commercial Residential 9.58 5.81 8.01 5.64 8.57 3.84 825 3 8. Do not reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. 421 5.56 3.04 5.31 4.56 2.67 OC. Reject Ho. There is sufficient evidence that the mean walting time between the two branches differ. OD. Do not reject Ha. There is insufficient evidence that the mean waiting time between the two branches differ. b. Determine the p-value in (a) and interpret its meaning 3.47 3.02 4.68 6.08 0.26 5.07 8.53 10.43 6.83 5.68 p-value O (Round to three decimal places as needed.) Interpret the p-value. Choose the correct answer below 6.35 6.48 3.58 4.13 6.01 9.82 5.38 A. Ris 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. Ris 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. Ris the probablity the two banks have diferent 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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whats the conclusion for the last part of a whats the p value and its meaning please

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.
O Click the icon to view the bank branch data.
H: "2
D. Ho: 1 =2
H4: 2
H1: H 2
OC. Ho: 22
H: H1 2
Find the test statistic
'STAT -4.09
(Round to two decimal places as needed.)
Find the critical value(s).
-2.05, 2.05
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Choose the correct conclusion below.
Waiting time data
OA. Reject Hg. There is insufficient evidence that the mean waiting time between the two branches differ.
Commercial Residential
4.21
5.56
3.04
OB. Do not reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ.
9.58
5.81
OC. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ.
r.
8.01
5.31
5.64
OD. Do not reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ.
4.56
8.57
2.67
3.84
b. Determine the p-value in (a) and interpret its meaning.
8.25
3.47
3.02
8.53
p-value =D
4.68
10.43
6.83
(Round to three decimal places as needed.)
6.08
0.26
5.68
Interpret the p-value. Choose the correct answer below.
5.07
4.13
6.01
6.35
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.
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.
6.48
3.58
9.82
5.38
Print
Done
c. In addition
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.
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 issH1 "2O
(Round to three decimal places as needed.)
Interpret the confidence interval. Choose the correct answer below.
O A. 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.
O D. With 95% confidence, the difference between the population mean waiting time between the two banks falls outside this interval.
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. 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. O Click the icon to view the bank branch data. H: "2 D. Ho: 1 =2 H4: 2 H1: H 2 OC. Ho: 22 H: H1 2 Find the test statistic 'STAT -4.09 (Round to two decimal places as needed.) Find the critical value(s). -2.05, 2.05 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. Waiting time data OA. Reject Hg. There is insufficient evidence that the mean waiting time between the two branches differ. Commercial Residential 4.21 5.56 3.04 OB. Do not reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. 9.58 5.81 OC. Reject Ho. There is sufficient evidence that the mean waiting time between the two branches differ. r. 8.01 5.31 5.64 OD. Do not reject Ho. There is insufficient evidence that the mean waiting time between the two branches differ. 4.56 8.57 2.67 3.84 b. Determine the p-value in (a) and interpret its meaning. 8.25 3.47 3.02 8.53 p-value =D 4.68 10.43 6.83 (Round to three decimal places as needed.) 6.08 0.26 5.68 Interpret the p-value. Choose the correct answer below. 5.07 4.13 6.01 6.35 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. 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. 6.48 3.58 9.82 5.38 Print Done c. In addition 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. 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 issH1 "2O (Round to three decimal places as needed.) Interpret the confidence interval. Choose the correct answer below. O A. 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. O D. With 95% confidence, the difference between the population mean waiting time between the two banks falls outside this interval.
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