Question 23 (1 point) Question 23 Unsaved The owner of a golf course wants to de

Question

Question 23 (1 point) Question 23 Unsaved 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 -1.18 strokes and the standard deviation of the differences is 9.373 strokes. The owner uses this information to calculate the 90% confidence paired t-interval of (-4.32, 1.96). Which statement is the correct interpretation of this interval? Question 23 options: 1) The proportion of all golfers that had a difference in scores between the two courses is 90%. 2) We are 90% confident that the average difference in the scores of the golfers sampled is between -4.32 and 1.96. 3) We are 90% confident that the average difference in scores between the two courses for all golfers is between -4.32 and 1.96. 4) 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 -4.32 and 1.96. 5) We are certain the the average difference in scores between the two courses for all golfers is between -4.32 and 1.96.

Explanation / Answer

When we do confidence intervals, we do it not just for the sample, but for the whole population.

So,

Answer is option 3

We are 90% confident that the average difference in scores between the two courses for all golfers is between -4.32 and 1.96

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