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 |
210 |
150 |
| Weight after six weeks |
170 |
120 |
215 |
152 |
For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet - weight after six weeks on the diet) is normally distributed with meanμ. We carry out a hypothesis test to determine if the diet leads to weight loss, For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet - weight after six weeks on the diet) is normally distributed with meanμ.
Based on these data, what is the P value of the hypothesis To determine if the diet leads to weight loss ? (hint: if there is weight loss means the average weight difference is greater than 0 ) (use 3 decimals)