The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are Person 1 2 3 4
Weight before the diet 180 125 240 150
Weight after six weeks 170 130 215 152

For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet minus weight after six weeks on the diet) is normally distributed with mean (µ). When testing the claim that the diet leads to weight loss after six weeks for all adults given that α=0.05, do you reject or fail to reject the Null Hypothesis, why or why not?