A local eat-in pizzeria wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 37 minutes. The owner has randomly selected 15 customers and delivered pizzas to their homes. What hypotheses should the owner test to see whether that the pizza delivery will be successful

Hypothesis Test is:

Null Hypothesis                                H₀         x  =  37

Alternative Hypothesis                     Hₐ         x  >  37

With that test hypothesis if we accept H₀  the result indicates that we can support that the average delivery time  is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37

Step-by-step explanation:

The limit average time is 37 minutes. Therefore under that value, the owner is happy. From the sample we have:

Sample size    n  =  15

we have data from delivery times then we have the mean    x  of the sample  and standard deviation of the sample   s

We assume normal distribution and as  n <  30 test should be developed with t - student distribution.

Hypothesis Test is:

Null Hypothesis                                H₀         x  =  37

Alternative Hypothesis                     Hₐ         x  >  37

With that test hypothesis if we accept H₀  the result indicates that we can support that the average delivery time  is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37