The Mean and the Standard Deviation
Last y ear, golfers at Smith Ranch golf course had a mean score of 41 and a standard deviation of 2 on the first nine holes of the course, and a mean of 38 and a standard deviation of 1.8 on the last nine holes. One afternoon, Nathan scored 39 on the first nine holes and 37 on the last nine. On which half of the course did Nathan golf better, relative to the other golfers? Remember that in golf it is better to have a low score. Explain.
Re: The Mean and the Standard Deviation
Hint: Find the probabilities (Cumulative Probabilities) for each of the sets of holes. (Like P(X < 39) and P(Y < 37)) and interpret them in the context of your question.