A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. The population standard deviation is 5.6 days.
a.State the null and alternative hypotheses.
b.Using a critical value, test the null hypothesis at the 5% level of significance.
c.Using a p-value, test the hypothesis at the 5% level of significance.
d.Compute the probability of a Type II error if the true average delivery time is 17 days after purchase.
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