In: Statistics and Probability
A random sample of 4 male adults was selected in order to test a weight-reduction program using a newly developed appetite suppressant. The men were put on the program for 4 weeks. The results of the study are given in the following table:
Name | Weight Before | Weight After | Before- After |
Bob | 206 | 200 | 6 |
Lou | 212 | 205 | 7 |
Roy | 167 | 162 | 5 |
Zac | 192 | 186 | 6 |
A) Obtain a 95% confidence interval for the true mean weight loss after 4 weeks on the program.
B) Is there evidence at the 1% level to indicate that the weight -reduction program is working that the true mean weight is less after 4 weeks on the program? Write out the hypotheses, test statistic, decision rule and conclusion for this test.