3. Question Details Athletes are constantly seeking measures of the degree of their cardiovascular fitness prior to a major race. Athletes want to know when their training is at a level which will produce a peak performance. One such measure of fitness is the time to exhaustion from running on a treadmill at a specified angle and speed. The important question is then Does this measure of cardiovascular fitness translate into performance in a 10km running race? 20 experienced distance runners who professed to be at top condition were evaluated on the treadmill and then had their times recorded in a 10km race. Download the related data (.xls format) and run JMP to answer the following questions. i. Look at the scatter plot of the data. Does a linear model seem appropriate? yes no ii. Fit the linear regression model, (10km Time)= Report the estimated error variance. Report the 95% confidence interval for Test H0: + *(Treadmill Time)+ . ?( , ) =0. Did you reject H0? no yes Test H0: = 2 (You are testing if the 10km race time is reduced 2 minutes when you do 1 more minute in treadmill). Did you reject H0? yes no Is there a linear relationship between the amount of time needed to run a 10km race and the time to exhaustion on a treadmill? Be 95%confident. yes no Estimate the mean time to run 10km for athletes having a treadmill time of 11 minutes. Report a 95% confidence interval on the mean time to run 10km for athletes having a treadmill time of 11 minutes.( , ) Report a 95% prediction interval on the time to run 10km for an athlete having a treadmill time of 11 minutes.( , ) Which of the following is a true statement? Be 95% confident. There are no differences between the prediction interval and the confidence interval the prediction interval is wider than the confidence interval the confidence interval is wider than the prediction interval Treadmill 10-K 7.5 43.5 7.8 45.2 7.9 44.9 8.1 41.1 8.3 43.8 8.7 44.4 8.9 43.8 9.2 43.1 9.4 41.8 9.8 43.7 10.1 39.5 10.3 38.2 10.5 43.9 10.7 37.6 10.8 37.7 10.9 39.2 11.2 35.7 11.5 37.2 11.7 34.8 11.8 38.5