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# Hypothesis Testing: Weight Loss

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The following table shows the results after four weeks (number of pounds lost).

Drug Placebo
9 8
5 6
11 2
8 3
6 5
3 6
14 2

You want to prove that the drug is effective with α=.05.

Calculate the following

1) Mean and standard deviation for each sample.
2) Since it is a small sample we will use the t-distribution, so you have to use the formula for degrees of freedom ( page 409).
3) State H0 and Hα.
4) Calculate the t - statistic.
5) Find the critical value.
6) State your case whether there is enough evidence to support the claim.
Do we reject or fail to reject H0? Why or why not?

https://brainmass.com/statistics/students-t-test/hypothesis-testing-weight-loss-209872

#### Solution Preview

Please see the attached file for the solution.

Drug Placebo
9 8
5 6
11 2
8 3
6 5
3 6
14 2

You want to prove that the drug is effective with α=.05.

Calculate the following

1) ...

#### Solution Summary

The mean, standard deviation, t-distribution, t-statistic, and the critical value is calculated for a new weight loss drug.

\$2.19