The board of a major credit card company requires that the mean wait time for customers when they call customer service is 3 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.4 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence that the mean wait time for customers is longer than 3 minutes with a 98% level of confidence?
The board of a major credit card company requires that the mean wait time for customers when they call customer service is 3 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.4 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence that the mean wait time for customers is longer than 3 minutes with a 98% level of confidence?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- The board of a major credit card company requires that the
mean wait time for customers when they call customer service is 3 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.4 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence that the mean wait time for customers is longer than 3 minutes with a 98% level of confidence? - For the same problem as part A, construct an appropriate confidence interval based on the alpha level in A to support your conclusion from part A. Recall, if you rejected the null in part A, then your expected mean should not be included in the interval. If you failed to reject the null hypothesis, then the hypothesized mean should be in the interval. You should only need the appropriate critical value and margin of error in addition to values from part A. Correctly round your results to two decimal places in your conclusion sentence and be sure to state that it supports your decision to reject or fail to reject based on whether the hypothesized value falls in the interval.
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