Question

A health researcher read that a 100-kg male can burn an average of 572
calories per hour playing table tennis. Thirty-six males were randomly selected and tested.
The mean of the number of calories burned per hour was 557. Assume that the standard
deviation for 100-kg males in the population is 45 calories per hour.

(i) Test the claim that the average number of calories burned per hour is actually less than
572. Use α = 0.01.

(ii) Calculate the probability of Type II error β if the average number of calories burned per
hour for 100-kg males in the population is actually 542.

Answer 1