revious exam question) Over the past 300 years or so, the amount of time it has taken Santa Claus to climb down chimneys, deposit presents, and get back to his sleigh has been normally distributed with a mean of 10 seconds per chimney and a standard deviation of 3 seconds. This year, since he's beginning to feel his age, Santa has engaged in a rigorous physical fitness program which he believes will allow him to significantly reduce his time. To test his belief, Santa plans to have one of the elves time him on a random sample of 36 chimneys and then conduct the hypothesis test with α ≤ .025. If, in fact, the exercise program has reduced his true mean time to 8 seconds (standard deviation unchanged), what is the probability that Santa will incorrectly conclude that the exercise had no effect? Answer: 4. 0.0207

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