A special diet given to 8 overweight women helped them to lose 7, 12, 14, 9, 6, 11, 8 and

Question

13kg within a period of 3 months. Assuming normal distribution, can we reject the claim
that the diet will help an overweight woman to lose at least 14kg in 3 months, at
  0.01
? �

Answer 1

Yes, we can reject the claim that the diet will help an overweight woman to lose at least 14kg in 3 months at α = 0.01. The mean weight loss for the 8 women was 9.875kg, and the standard deviation was 3.717kg. Using a one-tailed t-test, the critical value for α = 0.01 is 2.821. Since the t-value for the mean weight loss of 14kg is 4.821, which is greater than the critical value, we can reject the claim.