A shipping company claims that the average delivery time for itsnext day shipping service is 22 hours.
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Question:
A shipping company claims that the average delivery time for itsnext day shipping service is 22 hours. However, a group ofcustomers believe that the mean delivery time is longer than 22hours. Suppose that a random sample of 78 next day deliveries bythe company yields a mean delivery time of 23.5 hours with astandard deviation of 4.8 hours.
a) State the null and alternative hypotheses to the company'sclaim.
b) In the context of the problem, explain a type 1 error and type 2error.
c) Find the value of the test statistic.
d) Compute the p-value and use it to make your decision at theα=0.05 significance lever.
Related Book For
Elementary Statistics A step by step approach
ISBN: 978-0073386102
8th edition
Authors: Allan Bluman
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