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In: Statistics and Probability

A random sample of 4 male adults was selected in order to test a weight-reduction program...

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.

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