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. A diet researcher believes that this water diet is highly effective for losing weight. Eight 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 2 3 4 5 6 7 8 Before weight 180 125 240 150 148 155 175 185 After weight 170 130 215 152 142 149 180 183 For the population of all adults, assume that the weight loss after six weeks on the diet is normally distributed. Answer the questions below using a significance level of 5%. (3+3+3+2+3] (a) Specify proper null and alternative hypotheses to test the researcher's claim. (b) What are the necessary assumptions for this test? Are the assumptions valid in this case? (c) Find the test statistic value. (d) What is the p-value? (e) What is the conclusion of the test? Explain in the context of the