Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music? Test the relevant hypotheses using a significance level of 0.05. (Used-music-Hno music) State the appropriate null and alternative hypotheses. Ho: Hd=0 H₂H<0 OHO: HO H₂H<0 ⒸHO: HO O Hot Hd-O H₂O O Ho: He <0 H₂:40 Find the test statistic. (Round your answer to two decimal places.) t= Use technology to find the P-value. (Round your answer to four decimal places.) P-value- State the conclusion in the problem context. O We fail to reject Ho. The data do not provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. O We reject Ho. The data do not provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. We reject Ho. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. O we fail to reject Ho. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music? Test the relevant hypotheses using a significance level of 0.05. (Used=music - no music)
State the appropriate null and alternative hypotheses.
O Ho: d = 0
H₂Hd <0
O Ho: >0
H₂: <0
O Ho: M = 0
H₂: MO
ⒸH₁: d=0
H₂:40
о нонко
H₂Hd > 0
Find the test statistic. (Round your answer to two decimal places.)
t =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
State the conclusion in the problem context.
O We fail to reject Ho. The data do not provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music.
O We reject Ho. The data do not provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music.
O We reject Ho. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music.
O we fail to reject Ho. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music.
Transcribed Image Text:Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music? Test the relevant hypotheses using a significance level of 0.05. (Used=music - no music) State the appropriate null and alternative hypotheses. O Ho: d = 0 H₂Hd <0 O Ho: >0 H₂: <0 O Ho: M = 0 H₂: MO ⒸH₁: d=0 H₂:40 о нонко H₂Hd > 0 Find the test statistic. (Round your answer to two decimal places.) t = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O We fail to reject Ho. The data do not provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. O We reject Ho. The data do not provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. O We reject Ho. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music. O we fail to reject Ho. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music.
Many runners believe that listening to music while running enhances their performance. The authors of a paper wondered if this is 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 (in seconds)
Motivational
music
Runner
1
2
3
4
5
6
7
8
9
10
11
535
533
528
521
432
497
555
399
536
544
523
USE SALT
No music
468
449
484
573
564
594
473
499
554
500
521
Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music? Test the relevant hypotheses using a significance level of 0.05. (Used=music - no music")
State the appropriate null and alternative hypotheses.
Transcribed Image Text:Many runners believe that listening to music while running enhances their performance. The authors of a paper wondered if this is 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 (in seconds) Motivational music Runner 1 2 3 4 5 6 7 8 9 10 11 535 533 528 521 432 497 555 399 536 544 523 USE SALT No music 468 449 484 573 564 594 473 499 554 500 521 Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music? Test the relevant hypotheses using a significance level of 0.05. (Used=music - no music") State the appropriate null and alternative hypotheses.
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