Hypothesis Testing - Type I and Type II errors: You test the claim that the mean

Question

Hypothesis Testing - Type I and Type II errors: You test the claim that the mean gas mileage of all cars of a certain make is greater than 30 miles per gallon (mpg). You perform this test at the 0.05 significance level.

(a) Describe the mistaken conclusion that results from a Type I error.

You support the claim that the mean mpg is greater than 30 when it is false.

You fail to support the claim that the mean mpg is greater than 30 when it is true.    

(b) Describe the mistaken conclusion that results from a Type II error.

You fail to support the claim that the mean mpg is greater than 30 when it is true.

You support the claim that the mean mpg is greater than 30 when it is false.     

(c) What is the probability of a Type I error for this test?

Explanation / Answer

a)You support the claim that the mean mpg is greater than 30 when it is false.

b)You fail to support the claim that the mean mpg is greater than 30 when it is true.

c) probabilty of type 1 error =0.05

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