2. Suppose we want to compare two different exercise programs to see if they help people lose weight. We measure the weight of a random sample of 100 participants before they start either program and then randomly assign 50 of them to one of the exercise programs and 50 to the other. After one month on the programs, the participants are weighed again. The mean weight lost by the first group is 5 lbs., with standard deviation 2.1 lbs. The mean weight lost by the second group is 7 Ibs., with standard deviation 3.0 lbs. We want to test a claim that the second exercise program is more effective than the first exercise program at helping people to lose weight. a. State the null and alternative hypotheses, BOTH symbolically and in the context of this problem. Ho Ha- b. Find the Estimated Standard Error and T-test statistic for this test. Be sure to show the appropriate formula, along with the answer. C. Assuming that all conditions for inference are met, state the P-value. Next using the 5% significance level, state the appropriate conclusion in context