For the following weight loss study, assume that all conditions for inference are met.

At the end of 6 months, the mean weight loss, in pounds, for people losing weight by diet and exercise only is

x_W. For those randomly assigned to also attend a weekly weight loss program, it is

x_L. A 95% confidence interval for L-Wis (0.9, 2.4).

i. Based on the confidence interval, if we tested the following hypotheses, would we accept or reject the null at the =0.05 level?

Null:L=W

Alternate:LW

WHY or WHY NOT?A full explanation will include what the interval is telling us and how we know =0.05.

ii. Suppose that based on the study, a fitness company promotes the weekly weight loss program for a fee since people in the program lose 1.65+0.75 pounds more over the course of 6 months.If you were trying to lose weight, would you pay a one time fee of $60 to attend the weekly weight loss program for the next 6 months?

WHY or WHY NOT?There no single answer, but a full defense of your choice will include correctly interpreting the statistical significance as well as practical considerations of the study.