1. To determine the effectiveness of a new weight control diet, ten randomly selected students observed the diet for 4 weeks with the results shown below.

Dieter Weight Before Weight After

A 188 185

B 151 147

C 129 132

D 125 127

E 168 155

F 139 131

G 152 144

H 140 142

I 137 137

J 180 175

1. Set up the null and alternative hypotheses to see if this diet is effective.
2. Construct a 95% confidence interval estimate for the true amount lost on this diet. Please provide the step by step calculations
3. Test the hypothesis stated in Part a. State your conclusion. Please provide the step by step calculations