Question

In the past, the mean running time for a certain type of flashlight battery has been 9.7 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: H 0: μ = 9.7 hours H a: μ > 9.7 hours where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.

Answer 1

Explanation:

From the information given:

`\mathbf{H_o: \mu = 9.7 \ hours}`

`\mathbf{H_1: \mu > 9.7 \ hours}`

The type 1 error is rejecting
`\mathbf{H_o}` when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.