Many runners believe that listening to music while running enhances their performance. The authors of a paper wondered if this was true for experienced runners. They recorded time to exhaustion for 11 triathletes while running on a treadmill at a speed determined to be near their peak running velocity. The time to exhaustion was recorded for each participant on two different days. On one day, each participant ran while listening to music that the runner selected as motivational. On a different day, each participant ran with no music playing. You can assume that it is reasonable to regard these 11 triathletes as representative of the population of experienced triathletes. Only summary quantities were given in the paper, but the data in the table below are consistent with the means and standard deviations given in the paper. Runner Motivational Music No Music 1 2 3 Time to Exhaustion (seconds) 4 5 520 518 512 509 416 472 451 487 578 567 6 7 8 9 10 11 483 540 381 524 527 508 597 478 501 557 505 529 In an earlier exercise, a hypothesis test leads to the conclusion that there is not convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. Use the given information to construct a 95% confidence interval for the difference in mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music. (Use Round your answers to three decimal places.) Hmotivational music no music to seconds Interpret the interval. O We are 95% confident that the difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music is not in the interval. Because zero is not included in the interval there may be no difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music. We are 95% confident that the difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music is in the interval. Because zero is included in the interval there may be no difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music. O We are 95% confident that the difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music is not in the interval. Because zero is not included in the interval we conclude there is likely a difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music. We are 95% confident that the difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music is in the interval. Because zero is not included in the interval we conclude there is likely a difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music. We are 95% confident that the difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music is in not the interval. Because zero is included in the interval we conclude there is likely a difference in the mean time to exhaustion for experienced triathletes when running to motivational music and the mean time when running with no music.