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1 pts Question 7 A weight loss program claims that the program participants have

ID: 3312256 • Letter: 1

Question

1 pts Question 7 A weight loss program claims that the program participants have a mean weight loss of at least 11 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants was selected and it was found that their mean weight loss (in pounds) was 9.8 pounds with a standard deviation of 3.1 pounds. At alpha 0.05, do you have enough evidence to reject the program's claim? Use the critical value (rejection region) method. Next, make your decision. O Since z is in the rejection region, Reject Ho. O Since z is in the rejection region, FTR Ho O Since z is not in the rejection region, Reject Ho. O Since z is not in the rejection region, FTR Ho.

Explanation / Answer

Ho : >= 11
Ha: < 11

z = (X - )/(SD/sqrt(N)) = (9.8-11)/(3.1/sqrt(30)) = -2.12

For one sided test with 0.05 significance level, zcrit = -1.64

-2.12 < -1.64, it is in the rejection region.

Answer: Option A. Since Z is in the rejection region, Reject Ho.