Business stats

A weight loss program claims that program participants have a mean weight loss of at least 12 pounds after 1 month. You work for a medical association and are asked to test this claim A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 3. At a - 0.05, do you have enough evidence to reject the program's claim? Complete parts (a) through (e) 5.7 6.3 7.3 74 8.2 8.3 8.5 D.2 9 4 9.0 9 9 10.4 10.4 10 6 10.6 10.8 11.4 115 116 118 12 1 12 8 12 0 13.8 15.2 O C. HO H 2 12 OD HO US 12 Ha H 12 O E. Ho: H = 12 OF HO H > 12 Hap H 2 12 Haus 12 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice (Round to two decimal places as needed.) A. The critical value is O B. The critical values are + Identify the rejection region(s). Choose the correct answer below. OB O c. Fail to reject Ho Fail to reject Ha Fail to reject Ho - Reject Ho Reject Ho. Reject Ho Reject Ho (c) Find the standardized test statistic. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Since z is not in the rejection region, fail to reject the null hypothesis. O B. Since z is in the rejection region, reject the null hypothesis, O C. Since z is not in the rejection region, reject the null hypothesis. O D. Since z is in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 5% significance level, there enough evidence to the program's claim that program participants have a mean weight loss pounds after 1 month