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Over the past 5 years, the average time to resolve customer complaints at a large local retailer has been 3.25 days. Management feels the mean time is too long, which probably results in decreased competitiveness. The retailer has recently instituted a new complaint processing procedure and has tested the procedure on 20 customer complaints. The results of the tests are shown below. The values given are the number of days required to process the customer complaint.
Days to Process Customer Complaints 3 2 2 3 4 1 2 2 3 2 3 2 2 1 2 2 1 2 5 3
A. What are the sample point estimates for the mean and standard deviation for the time it takes to resolve a customer complaint?
B. Perform the appropriate test to determine if the mean time it takes to resolve a customer complaint has been significantly reduced. Use alpha = .01. Perform the test using the test statistic method. Be sure to show all required steps.
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