# Hypothesis Testing: Weight Loss

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.