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Can an athlete's cardiovascular fitness (as measured by time to exhaustion on a treadmill) help to predict the athlete's performance in a 20k ski race? To address this question the time to exhaustion on a treadmill (minutes) and the time to complete a 20k ski race (minutes) were recorded for a sample of 11 athletes. The researcher hypothesizes that there would be an inverse linear relationship, that is, the longer the time to exhaustion, the faster the athlete's time in the 20k ski race, on average. The data were used to provide the following output.
-Below are two intervals, one is the 95% prediction interval for the ski time for the 7th skier and the other is the 95% confidence interval for the mean ski time for all skiers with a treadmill exhaustion time of 10 minutes. Which of the following is the prediction interval?
Interval 1: (63.9, 67.0) Interval 2: (60.3, 70.7)
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