An independently selected sample of five men also participatedin the same study. The table below shows results for the numberof pounds lost by the five men and the five women in thestudy. The researcher will use the .01 significance level to testwhether (on average) the program produces different weight lossresults for men and women. You may assume the population variancesare equal (although the sample variances are not).
| Weight Loss (in pounds) | |
|---|
| Men (Sample 1) | Women (Sample 2) |
| Sample Size | 5 | 5 |
| Sample mean | 19.2 | 12.6 |
| Standard deviation | 4.970 | 4.336 |
| | |
f. Formulate the hypothesis for this test.
g. Should the pooled-sample variance be used in this situation?Why?
h. Choose the appropriate formula for the test statistic andfind its value.
i. What is the rejection region for this test?
j. What should the researcher conclude?
