In Exercise 11.23, 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 information given in that exercise to construct and interpret 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.

Exercise 11.23

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Time to Exhaustion (seconds) 1 2 3 4 5 6 7 8 9 10 11 Runner Motivational 535 533 527 524 431 498 555 396 539 542 523 Music No Music 467 446 482 573 562 592 473 496 552 500 524