The owner of a golf course wants to determine if his golf course is more difficu
ID: 3361022 • Letter: T
Question
The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 25 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 25 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on his friend's course) is 1.78 and the standard deviation of the differences is 16.388. Calculate a 95% confidence interval to estimate the average difference in scores between the two courses.
1)
2)
3)
4)
5)
1)
(4.985, 8.545)2)
(-4.97, 8.53)3)
(-1.498, 5.058)4)
(-0.284, 3.844)5)
(-4.985, 8.545)Explanation / Answer
The critical value at 95% interval is 2.064
Margin of error = (2.064*16.388)/5 = 6.765
95% Interval
(1.78-6.765, 1.78+6.765)
= (-4.985, 8.545)
So, Correct Option is E
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