In the past, the mean running time for a certain type of flashlight battery has been 9.8 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:

Question

H0 : µ = 9.8 hours

Ha : µ > 9.8 hours

Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean running time has not increased.
A. Type I error

B. Type II error

C. Correct decision

D. Can not be determined from this information

i'm confused between A and D

Answer 1

It is a Type I error.

Answer 2

Agreed, type II error.

Answer 3

definetly type 1 error

Answer 4

A Type I error would occur if, in fact, μ = 9.7 hours, but the results of the sampling lead to the conclusion that μ > 9.7 hours