Playing 10 rounds of golf on his home course, a golf professional averaged 71.3 with a standard deviation of 2.64. (a) (10 points) Test the null hypothesis that the consistency of his game on his home course is actually measured by σ = 2.40, against the alternative hypothesis that he is less consistent. Use the level of significance 0.05. Assume that the distribution of his score, although discrete, is approximately normal. (b) (5 points) If the distribution of his scores has a long right-hand tail, are your calculations in part (a) valid? Explain.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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 Playing 10 rounds of golf on his home course, a golf professional averaged 71.3 with a standard deviation of 2.64. (a) (10 points) Test the null hypothesis that the consistency of his game on his home course is actually measured by σ = 2.40, against the alternative hypothesis that he is less consistent. Use the level of significance 0.05. Assume that the distribution of his score, although discrete, is approximately normal. (b) (5 points) If the distribution of his scores has a long right-hand tail, are your calculations in part (a) valid? Explain.

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