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. Time to Exhaustion (seconds) Runner 1 2 3 4 5 6 7 8 9 10 11 Motivational Music 550 548 542 539 446 513 570 411 554 557 538 No Music 457 436 472 563 552 582 463 486 542 490 514 A button hyperlink to the SALT program that reads: Use SALT. 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 𝜇motivational music − 𝜇no music. Round your answers to three decimal places.)