Question

Although we have not emphasized it, the paired t-test can be used to test hypotheses in which the null value is something other than 0. For example, suppose that the proponents of a diet plan claim that the mean amount of weight lost in the first three weeks of following the plan is 11 pounds. A consumer advocacy group is skeptical and measures the beginning and ending weights for a random sample of 20 people who follow the plan for three weeks. The mean and standard deviation for the weight lost during this time are 9 pounds and 4 pounds, respectively (a) What is the parameter of interest? Be sure to specify the appropriate population. The parameter of interest is μd- mean # weight loss (in pounds) in the first three weeks of following a diet plan for the population of all people who would follow the plan. (b) What are the null and alternative hypotheses? (c) What is the value of the test statistic? (Round the answer to three decimal places.) t- (d) What is the p-value for the test? (Round the answer to four decimal places.) p-value (e) What conclusion can the consumer advocacy group make? The consumer advocacy group can reject the null hypothesis and conclude that the mean weight loss for the first three weeks of this diet plan is less than 11 pounds

Answer 1