Cox Communications, the primary cable provider in Omaha, NE, claims to have excellent customer service. In fact, the company advertises that a technician will arrive approximately 30 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming it takes longer than 30 minutes for a technician to arrive. The customer puts a survey on the Nextdoor app asking other Cox customers what their experience has been. Only 9 people responded, with a mean of 32.9 minutes and standard deviation of 3.4 minutes. Test the customer's claim with a 0.025 level of significance.  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 one decimal place 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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  1. Cox Communications, the primary cable provider in Omaha, NE, claims to have excellent customer service. In fact, the company advertises that a technician will arrive approximately 30 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming it takes longer than 30 minutes for a technician to arrive. The customer puts a survey on the Nextdoor app asking other Cox customers what their experience has been. Only 9 people responded, with a mean of 32.9 minutes and standard deviation of 3.4 minutes. Test the customer's claim with a 0.025 level of significance. 
  2. 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 one decimal place 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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