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At a recent Golf tournament, the scores of eight randomly selected golfers for two consecutive days were posted as follows. Golfer Tuesday Wednesday (b) (c) 1 67 69 (d) 2 64 68 3 68 65 4 61 62 Assume that the distribution of the scores is approximately normally distributed. (a) Explain why the sample data are dependent in context of the problem. 5 68 63 6 69 72 7 70 70 8 71 68 Present a suitable statistical output to perform a one-tailed Paired T-Test for the above data Perform a complete one-tailed test based on the output generated in (b) by using a = 0.02. Conclude the test in context of the problem. Based on your understanding, is it true that if one could reject the null hypothesis for a two- tailed test then null hypothesis of the one-tailed test can be rejected too? Explain your answer.

At a recent Golf tournament, the scores of eight randomly selected golfers for two consecutive days were posted as follows. Golfer Tuesday Wednesday (b) (c) 1 67 69 (d) 2 64 68 3 68 65 4 61 62 Assume that the distribution of the scores is approximately normally distributed. (a) Explain why the sample data are dependent in context of the problem. 5 68 63 6 69 72 7 70 70 8 71 68 Present a suitable statistical output to perform a one-tailed Paired T-Test for the above data Perform a complete one-tailed test based on the output generated in (b) by using a = 0.02. Conclude the test in context of the problem. Based on your understanding, is it true that if one could reject the null hypothesis for a two- tailed test then null hypothesis of the one-tailed test can be rejected too? Explain your answer.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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At a recent Golf tournament, the scores of eight randomly selected golfers for two consecutive days were posted as follows. Golfer Tuesday Wednesday (b) (c) 1 67 69 (d) 2 64 68 3 68 65 4 61 62 Assume that the distribution of the scores is approximately normally distributed. (a) Explain why the sample data are dependent in context of the problem. 5 68 63 69 72 7 70 70 8 71 68 Present a suitable statistical output to perform a one-tailed Paired T-Test for the above data. Perform a complete one-tailed test based on the output generated in (b) by using a = 0.02. Conclude the test in context of the problem. Based on your understanding, is it true that if one could reject the null hypothesis for a two- tailed test then null hypothesis of the one-tailed test can be rejected too? Explain your answer.
Transcribed Image Text:At a recent Golf tournament, the scores of eight randomly selected golfers for two consecutive days were posted as follows. Golfer Tuesday Wednesday (b) (c) 1 67 69 (d) 2 64 68 3 68 65 4 61 62 Assume that the distribution of the scores is approximately normally distributed. (a) Explain why the sample data are dependent in context of the problem. 5 68 63 69 72 7 70 70 8 71 68 Present a suitable statistical output to perform a one-tailed Paired T-Test for the above data. Perform a complete one-tailed test based on the output generated in (b) by using a = 0.02. Conclude the test in context of the problem. Based on your understanding, is it true that if one could reject the null hypothesis for a two- tailed test then null hypothesis of the one-tailed test can be rejected too? Explain your answer.
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