Question

. A consumer advocacy group claims that the mean mileage for the Carter MotorCompany's new sedan is less than 32 miles per gallon. That isHo: Carter Motor Company's new sedan is less than 32 miles per gallonWrite the type I error for the test

Answer 1

In this case, null hypothesis is that mean is not less than 32.

Hence, type I error is to conclude that the true mean is less than 32 miles per gallon, even though it is not.

This could lead to a lawsuit where the Carter Motor Company might have to pay a fine even though they are innocent.

Remember that,

Type I error = rejecting null hypothesis even if it is true.

Type 1 error can only occur when you reject

`H_0`

Hence,

The type 1 error for the test is

Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon