In: Statistics and Probability
PLEASE EXPLAIN/SHOW WORK. HIGHLIGHT ANSWER
During a typical PGA tournament, the competing golfers play 4 rounds of golf, where the hole locations are changed for each round. Below are the scores for the top 5 finishers at the 2009 U.S. Open.
At the 5% level, can you conclude that average scores produced by the 4 different ROUNDS differ?
Round |
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Golfer |
1 |
2 |
3 |
4 |
Lucas Glover |
69 |
64 |
70 |
73 |
Phil Mickelson |
69 |
70 |
69 |
70 |
David Duval |
67 |
70 |
70 |
71 |
Ricky Barnes |
67 |
65 |
70 |
76 |
Ross Fisher |
70 |
78 |
79 |
72 |
There is NO statistical evidence of a difference in the average scores produced by the 4 different rounds. The F critical value of 3.24 exceeds the calculated F value of 1.26. |
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There is NO statistical evidence of a difference in the average scores produced by the 4 different rounds. The p-value of 0.3215 is less than the significance level for the study. |
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There is a statistical evidence of a difference in the average scores produced by the 4 different rounds. The p-value is greater than the significance level. |
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There is NO statistical evidence of a difference in the average scores produced by the 4 different rounds. The F critical value of 3.0556 exceeds the calculated F value of 1.94. |
Open. At the 5% level, can you conclude that average scores produced by the 5 different PLAYERS differ?
There is NO statistical evidence of a difference in the average scores produced by the 5 different players. The F critical value of 3.24 exceeds the calculated F value of 1.26. |
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There is strong evidence of a difference in the average scores produced by the 5 different players. The F critical value of 3.0556 exceeds the calculated F value of 1.94. |
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There is NO statistical evidence of a difference in the average scores produced by the 5 different players. The p-value of 0.1552 exceeds the significance level for the study. |
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There is a statistical evidence of a difference in the average scores produced by the 5 different players. The p-value is greater than the significance level for the study. |