testing for the differences between means of 2 independent populations where the variances in each population r unknown, u must first perform the F-test for the difference between 2 variances. Which of the following is correct? a)If the null hypothesis of the F-test is rejected, then use the pooled variance t test for the difference between the means. b)If the null hypothesis of the F-test is not rejected, then use the separate variance t test for the difference between the means. c) If the alternative hypothesis of the F-test is accepted, then use the pooled variance t test for the difference between the means. d)Both (a)n(c)are correct. e)None
You may want to check this, but I would lean towards d) because a) and c) are saying the same thing. If the null is rejected, then the alternative would be accepted. Usually when doing an F-test and the null is rejected, it is often necessary to do additional analysis to test for difference between means.
The correct answer is d) Both (a) and (c) are correct.
To test for the difference between means of two independent populations where the variances in each population are unknown, you first need to perform the F-test for the difference between the variances. The F-test helps determine if the variances of the two populations are significantly different or not.
If the null hypothesis of the F-test is rejected (meaning the variances are significantly different), then you should use the pooled variance t-test for the difference between the means. The pooled variance t-test assumes that the variances of the two populations are equal, and it provides a more accurate estimate of the standard error when the variances are similar.
On the other hand, if the null hypothesis of the F-test is not rejected (meaning the variances are not significantly different), then you should use the separate variance t-test for the difference between the means. The separate variance t-test assumes that the variances of the two populations are not necessarily equal and does not pool the variances together.
Therefore, both (a) and (c) are correct statements about the appropriate tests to use depending on the outcome of the F-test.