Researchers are testing the alternative hypothesis: > 166.3 lb. Suppose the actu

Question

Researchers are testing the alternative hypothesis: > 166.3 lb. Suppose the actual true value of the mean is 170 lb. For the researcher's experimental design (sample size, etc.) the power of their test is 0.2203. Which of the following is TRUE?

a. A power of 0.2203 can be interpreted to mean there is a 22.03% chance of selecting a sample whose sample mean is larger than 166.3 lb.

b. A power of 0.2203 can be interpreted to mean there is a 22.03% chance of selecting a sample which leads to the decision to reject Ho when the true mean is 170 lb.

c. A power of 0.2203 can be interpreted to mean there is a 22.03% chance of selecting a sample which leads to the decision to fail to reject Ho when the true mean is 170 lb.

d. Power equals one minus the probability of a Type I error.

e. Two of the above are TRUE.

f.None of the above are TRUE.

Explanation / Answer

The correct option is (B).

A power of 0.2203 can be interpreted to mean there is a 22.03% chance of selecting a sample which leads to the decision to reject Ho when the true mean is 170 lb.

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