Which statement is the correct interpretation of this interval?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 26 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 26 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 -1.79 strokes and the standard deviation of the differences is 5.907 strokes. The owner uses this information to calculate the 90% confidence paired t-interval of (-3.769, 0.189). Which statement is the correct interpretation of this interval?
 

Question 10 options:

 

1) 

We are 90% confident that the difference between the average score on the owner's golf course and the average score on the friend's golf course is between -3.769 and 0.189.
 

2) 

We are certain the average difference in scores between the two courses for all golfers is between -3.769 and 0.189.
 

3) 

We are 90% confident that the average difference in the scores of the golfers sampled is between -3.769 and 0.189.
 

4) 

The proportion of all golfers that had a difference in scores between the two courses is 90%.
 

5) 

We are 90% confident that the average difference in scores between the two courses for all golfers is between -3.769 and 0.189.
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