(20) 1. When people go on a diet they should lost on average 8 pounds in the first month of their diet. We let 68 try the "statistician's diet" (every time you get hungry you decide to do some statistics instead) and find the average weight loss for this group of 68 people was 12 pounds with a standard deviation of 10 pounds for the first month they were on the diet. a) At the .01 level did the diet increase the amount of weight lost? (p = 0) b) Interpret the p-value obtained c) Interpret the 99% confidence interval (computer says "over 14.2") d) Based on the results of this test would you go on this statistician's diet? Explain e) What is the only type of error that could have occurred