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 3.
At α=0.02, do you have enough evidence to reject
the program's claim? Complete parts (a) and (b).
5.3
5.5
6.4
6.7
7.2
7.7
7.9
8.1
8.3
8.7
8.9
9.2
9.3
9.4
9.8
9.9
10.1
10.3
10.5
10.6
11.1
11.2
11.3
11.6
11.6
12.2
12.5
12.5
13.7
15.3
a, find the critical value.....
b. find the z test statistics. z-------