Question

In the past, the mean running time for a certain type of flashlight battery has been 8.1 hours. The manufacturer has introduced a change in tge production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. the hypotheses are below. Identify tge Type 1 error.

Ho: mean = 8.1 hours

Ha: mean > 8.1 hours

Answer #1

A **type I error** occurs when one rejects the null
hypothesis when it is true

In this case, the mean running time for a certain type of flashlight battery has been 8.1 hours

The manufacturer has introduced a change in the production method and he expects the mean running time to change

Only, if it changes, he will incorporate that method. Otherwise, it is useless to implement that method

When H0 is true, which means the mean running time is <=8.1 and he rejects it, he will continue with his new approach to manufacture bulbs assuming that the mean running time has increased

He is at a risk of spending more on the process and getting the same results or even a fall in the mean running time as H0 suggests a (<) symbol as well

This would be the Type-1 error in this scenario

Let me know if you need anything else, if not please don't forget to like the answer :)

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