In a study to determine whether counseling could help people lose weight, a sample of people experienced a group- based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 14 people, based on means and standard deviations given in the article: (Round answer to four decimal places). Table 1: Source: Journal of the American Medical Association 299: 1139-1148 If appropriate, using 5% level of significance perform a hypothesis test to determine whether the mean weight loss is greater than 10 pounds. a. State the null and alternate hypothesis. b. Compute the value of test statistic. c. Find the Critical Value and determine the rejection and non-rejection regions; find the P-value and include a drawing for each approach. d. State your conclusion. e. Interpret your inference within the context.