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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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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