Question

The time to order and deliver a pizza at Jimbo’s 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 to make aTypeI error.

c. Explain what it would mean to make a Type II error.

Answer 1

a. Here the claim is that new system for ordering and delivering pizzas will reduce the time required to get a pizza to his customers.

Also it is given that

As we know, null hypothesis always have equality sign. So null hypothesis is and alternative hypothesis is

b. In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis.

So here Type I error is that time to order and deliver pizza at Jimbo's pizza is 48 minutes, but we conclude that it is less than 48 minutes.

c. In statistical hypothesis testing, a type II error is the failure to reject a false null hypothesis

So here Type II error is that time to order and deliver pizza at Jimbo's pizza is less than 48 minutes, but we conclude that it is 48 minutes.