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) Null hypothesis: The time to order and deliver a pizza to his customers at Jimbo's pizza is 48 minutes

Alternate hypothesis: The time to order and deliver a pizza to his customers at Jimbo's pizza is less than 48 minutes

(b) To make a type I error means that the null hypothesis is rejected when it is true

(c) To make a type II error means that the null hypothesis is accepted when it is false

Explanation:

(a) A null hypothesis is a statement deduced from a population parameter which would be tested to be true or false.

An alternate hypothesis is a statement deduced a population parameter that negates the null hypothesis.

(b) Type I error means rejecting the null hypothesis when it is true

(c) Type II error means accepting the null hypothesis when it is false