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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

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 standard deviation of the population ( σ) is known to be 5.6 days.

a. State the null and alternative hypotheses for a test to determine if their advertisement is legitimate.

b. Using the critical value approach, test the hypotheses. Let α = .05.

c. Using the p-value approach, test the hypotheses at the 5% level of significance.


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