Weight loss: 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. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than 21 pounds. Use the a =0.05 level of significance and the P-value method with the TI-84 Plus calculator. 23.1 29.1 8.6 24.8 21.9 13.7 18.0 21.8 38.0 34.3 13.1 37.2 25.0 20.4 Send data to Excel Part: 0 / 4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. HO: 0 0=0 0#0 This hypothesis test is a (Choose one) test. left-tailed X 5 right-tailed two-tailedPart 2 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. P-value = X 5 Part: 2 / 4 Part 3 of 4 (c) Determine whether to reject Ho. (Choose one) the null hypothesis Ho- X Reject 5 Do not rejectPart 4 of 4 (d) State a conclusion. There (Choose one) V enough evidence to conclude that the mean weight loss is greater than 21 pounds. X 5 is not