Question

A weight loss program claims that program participants have a mean weight loss of at least 10 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 33. At α=0.02, do you have enough evidence to reject the​ program's claim?

5.4
6.1
6.6
6.8
7.4
7.6
7.8
8.3
8.3
8.7
8.9
9.3
9.4
9.5
9.6
9.9
10.3
10.4
10.4
10.6
10.9
11.1
11.3
11.7
11.8
12.3
12.6
12.7
13.6
15.3

Find the critical​ value and Find standardized test statistic

Answer 1