Question

A study of a certain brand of AA batteries yielded a sample mean lifetime of 450 minutes with a sample standard deviation of 92 minutes. A hypothesis test was performed using the following hypotheses: H0: μ = 480 Ha: μ < 480. A type II error for this hypothesis test is:

	a.	To conclude that the average battery lifetime is less than 480 minutes when, in reality, it is less than 480 minutes.
	b.	To conclude that the average battery lifetime is equal to 480 minutes when, in reality, it is equal to 480 minutes.
	c.	To conclude that the average battery lifetime is equal to 480 minutes when, in reality, it is less than 480 minutes.
	d.	To conclude that the average battery lifetime is less than 480 minutes when, in reality, it is equal to 480 minutes.

Answer 1

Answer---->>

Given that the study of certain brand od AA batteries yielded a sampel mean lifetimeme of 450 minutes with a sample standard deviation of 92 minutes. i.e xbar = 450 and s = 92

A hypothesis test was performed using following hypothesis

H​​​​​​0: mu= 480 (minutes) against

H​​​​​​a: mu < 480 (minutes)

We know that type two Accept H​​​​​​0 in real H​​​​​0 is false

In this situation type two error is

C). To conclude that the average battery lifetime is equal to 480 minutes when in reality it is less than 480 minutes .