6. A 99% CI for the true mean weight loss ( in lb) for people on the SkinnyQuick diet plan is found to be (1.3, 5.2). Which of the following is (are) correct? I. The probability is 0.99 that the mean weight loss is between 1.3 lb and 5.2 1b II. The probability is 0.99 that the interval constructed be this process will capture the true population proportion. III. We are 99% confident that the true mean weight loss for this program is between 1.3 1b and 5.2 1b. IV. This interval provides evidence that the Skinny Quick plan is effective in reducing the mean weight of people on the plan. a. I and II only d. II, III, and IV only b. II only c. All are correct. c. II and III only 7. A poll was conducted in which Americans were asked whether they approve of the job the president of the United States is doing. The poll reported that 34% approve of the job the president is doing, with a margin of error of 3% and a 95% confidence level. Which of these is the best explanation of what that 3% means? a. There is a 3% chance that the 34% estimate is incorrect. b. Up to 3% of those sampled may have responded incorrectly. C. There is a probability of 3% that the proportion of all Americans who approve of the job the president is doing is not in the confidence interval. d. In about 95% of all possible samples of this size, the sample proportion will be within 3 percentage points of the proportion of all Americans who approve of the job the president is doing. c. In about 95% of all possible samples of this size, the sample proportion will be within 3 percentage points of the proportion of all Americans who approve of the job the president is doing. 8. A 99% CI for the weights of a random sample of high school wrestlers is reported as (125, 160). Which of the following statements about this interval is true? a. At least 99% of the weights of high school wrestlers are in the interval (125, 160) b. The probability is 0.99 that the true mean weight of high school wrestlers is in the interval (125, 160) . 99% of all samples of this size will yield a confidence interval of (125, 160). d. The procedure used to generate this confidence interval will capture the true mean weight of high school wrestlers 99% of the time. C. The probability is 0.99 that a randomly selected wrestler will weigh between 125 and 160 lbs