Question: A group of 20 women participated in a weight loss program for three weeks. Their weights were recorded before and after the program and the reduction in weight (weight before minus after) was calculated for each woman. This reduction in weight will be viewed as the outcome X of the weight loss program. The average reduction in weight was 6lb and the standard deviation of the weight reductions was 7lb.

Is there any evidence that the weight loss program helps to reduce weight?

1. State the null and (two-sided) alternative hypotheses
2. Calculate the t statistic
3. Obtain an approximate P -value using Table D
4. Do you think it was OK to assume that the t statistic has a t distribution?
5. How could you improve the study design to answer the research question?

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