Question

5. The time to order and deliver a pizza at Jimbos pizza was 48 minutes. Jim, the owner, implements a new system for ordering and delivering pizzas that he believes will reduce the time required to get a pizza to his customers. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean in this context to make a Type I error. (c) Explain what it would mean in this context to make a Type II error.

Answer 1

a) We need to test if the delivery time of pizza is reduced. Hence,

Our hypotheses will be:

Ho: $\small \mu$ = 48

Ha: $\small \mu$ < 48

b) Type I error: Conclude that the mean delivery time is less than 48 minutes whereas in fact, time is 48 minutes or more.

c) Type II error: Conclude that the mean delivery time is not less than 48 minutes whereas in fact, it is less than 48 minutes.