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 (Alpha) α = 0.02?, do you have enough evidence to reject the?program's claim? Complete parts? (a) through? (e).
5.1 5.2 6.3 6.8 7.1 7.3 7.8 8.3 8.3 8.4
8.4 9.1 9.3 9.6 9.7 9.8 10.1 10.3 10.6 0.8
10.9 11 11.3 11.5 11.5 12.2 12.6 12.6 13.3 15.2
(a) Identify H0 and Ha.
(b) The critical value is?
(c) Test statistic is?
A. H0?: μ < 12
Ha?: μ ≥ 12
B. H0?: μ ≤ 12
Ha?: μ > 12
C. H0?: μ ≠ 12
Ha?: μ = 12
D. H0?: μ ≥ 12
Ha?: μ < 12
E. H0?: μ > 12
Ha?: μ ≤ 12
F. H0?: μ = 12
Ha?: μ ≠ 12