Posted by **jenny** on Thursday, June 23, 2011 at 1:55pm.

Given the following information about a hypothesis test of the difference between two means based on independent random samples, which one of the following is the correct rejection region at a significance level of .05? Assume that the samples are obtained from normally distributed populations having equal variances.

H0: μA ≤ μB, H1: μA >μB 1 = 12, 2 = 9, s1 = 4, s2=2, n1 = 13, n2 = 10.

A. Reject H0 if Z > 1.96

B. Reject H0 if Z > 1.645

C. Reject H0 if t > 2.08

D. Reject H0 if t > 1.782

- business stats -
**MathGuru**, Thursday, June 23, 2011 at 6:41pm
I'll give you a hint.

H1 tells you if the test is one-tailed or two-tailed. If H1 shows a specific direction, like > or <, then the test is one-tailed. If the test does not show a specific direction, then the test is two-tailed. Therefore, since H1 shows a specific direction, look at the appropriate table for a one-tailed test at .05 level of significance.

I'll let you take it from here.

## Answer This Question

## Related Questions

- bus stats - Given the following information about a hypothesis test of the ...
- Stastics - In a statistical hypothesis test, how is the rejection region ...
- business statistics - For the following independent random samples, use the z-...
- Stats - Which of the following statement is true? In testing the hypothesis for ...
- Statistics - PLEASE CHECK AND SEE IF I HAVE THESE ANSWERS CORRECT. T F 1. ...
- Stat - PLEASE CHECK AND SEE IF I HAVE THESE ANSWERS CORRECT. T F 1. Hypothesis ...
- Statistics - testing for the differences between means of 2 independent ...
- statistics - Which of the following statements are true? (A) In testing the ...
- Stats - Recently, an automobile insurance company performed a study of a random ...
- Statistics - Need help with these questions: I have already answered 27 out of ...

More Related Questions