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. Assume the population standard deviation is known to be 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. What type of error may have been committed for this hypothesis test?
a. H0: ? ? 15
Ha: ? > 15
b. Do not reject H0, 1.5 < 1.645 . There is not sufficient evidence at ? = .05 to conclude that the average delivery time is more than what is advertised
c. Do not reject H0, .0668 > 0.05 (same conclusion as part b)
d. A Type II error may have been committed since we did not reject H0.
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