Posted by **Lezlie** on Wednesday, June 4, 2008 at 9:01pm.

The researcher wanted to test the hypothesis that Ho: μ=3, knowing the population, which was normal, had a variance of 1.00.

--

How powerful would this test be against the alternative hypothesis that

Ha: μ=4, given that n=15, α = .05

- statistics -
**MathGuru**, Tuesday, June 10, 2008 at 10:25am
The probability of making a Type II error is equal to beta. A Type II error is failure to reject the null when it is false. The power of the test is 1-beta and is the correct decision of rejecting the null when it is false. The alpha level directly affects the power of a test. The higher the level, the more powerful the test. Sample size also affects power. I'm not sure if your question is asking to calculate the actual power of the test or just determine if the test itself is powerful. If I'm interpreting the question correctly, then the test has power at alpha .05.

I hope this will be some help to you.

## Answer This Question

## Related Questions

- math - A researcher is performing a hypothesis test. The null hypothesis is that...
- statistics - It is known that the population mean for the Quantitative section ...
- statistics - In performing a hypothesis test, the null hypothesis is population...
- Statistics - testing for the differences between means of 2 independent ...
- Statistics - Cholesterol levels of adult males are approximately normally ...
- statistics - A researcher was interested in assessing the effectiveness of the ...
- statistics - A researcher was interested in assessing the effectiveness of the ...
- statistics - Given a sample size of 38, with sample mean 660.3 and sample ...
- statistics - A researcher was interested in assessing the effectiveness of the ...
- math/stats - Which of the following statements are true? (A) In a two-tail test ...

More Related Questions