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 = 0.06, do you have enough evidence to reject the program's claim?

Samples: 5.7, 6, 6.2, 6.9, 7.2, 7.7, 7.9, 8.2, 8.3, 8.4, 8.6, 9.2, 9.5, 9.6, 9.7, 9.8, 10.2, 10.7, 10.8, 11.1, 11,2, 11.5, 11.6, 11.8, 12.3, 12.5, 12.6, 13.5, 15.4

What is critical value? The critical values are (+/-)? Reject H ₀ or H _α ? Find test statistic