The customers at a bank complained about long lines and the time they had to spend waiting for service. It is known that the customers at this bank had to wait 8 minutes, on average, before being served. The management made some changes to reduce the waiting time for its customers. A sample of 60 customers taken after these changes were made produced a mean waiting time of 7.5 minutes with a standard deviation of 2.1 minutes. Using this sample mean, the bank manager displayed a huge banner inside the bank mentioning that the mean waiting time for customers has been reduced by new changes. Do you think the bank manager’s claim is justifiable? Use the 2.5% significance level to answer this question. Use both approaches.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The customers at a bank complained about long lines and the time they had to spend
waiting for service. It is known that the customers at this bank had to wait 8 minutes, on
average, before being served. The management made some changes to reduce the waiting
time for its customers. A sample of 60 customers taken after these changes were made
produced a mean waiting time of 7.5 minutes with a standard deviation of 2.1 minutes.
Using this sample mean, the bank manager displayed a huge banner inside the bank
mentioning that the mean waiting time for customers has been reduced by new changes.
Do you think the bank manager’s claim is justifiable? Use the 2.5% significance level to
answer this question. Use both approaches.

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