Refer to Exercise 11.22 to complete the following.
a. Predict the time to run 10 km if an athlete has a treadmill time of 11 minutes.
b. Place a 95% prediction interval on the time to run 10 km for an athlete having a treadmill time of 11 minutes.
c. Compare the 95% prediction interval from part (b) to the 95% confidence interval from Exercise 11.36. What is the difference in the interpretation of these two intervals? Provide a nontechnical reason why the prediction interval is wider than the confidence interval.
In exercise

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Treadmill time (minutes) 75 78 7.9 81 83 87 8.9 9.2 9.4 98 10-km time (minutes) 435 45.2 44.9 41.1 438 44.4 38.7 43.1 418 43.7 Treadmill time (minutes) 10.1 10.3 10.5 10.7 10.8 109 112 115 117 18 10-km time (minutes) 35 38.2 43.9 37 37.7 39.2 35.7 372 34.8 38.5