A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has
determined that home delivery will be successful if the average time spent on the deliveries does not exceed 3434 minutes. The owner has randomly selected 1818 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 3434 minutes. Suppose the P-value for the test was found to be 0.0281281. State the correct conclusion.
The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as
H0 : µ ≤ 34
The alternative hypothesis would be
Ha : µ > 34
This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be
Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.
