MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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. (Use #music "no music)
State the appropriate null and alternative hypotheses.
OHH O
H₂H<0
ононасо
H₂>O
O Ho: d=0
H₂: Hd O
O Ho: Hd = 0
H₂H<0
ⒸH₂: Hd=0
H₂: Hd>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 =
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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. (Use #music "no music) State the appropriate null and alternative hypotheses. OHH O H₂H<0 ононасо H₂>O O Ho: d=0 H₂: Hd O O Ho: Hd = 0 H₂H<0 ⒸH₂: Hd=0 H₂: Hd>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 =
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
3
4
5
6
7
8
9
10
11
535
534
527
521
432
498
555
399
536
543
524
No music
467
449
483
574
563
593
474
499
553
500
521
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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 3 4 5 6 7 8 9 10 11 535 534 527 521 432 498 555 399 536 543 524 No music 467 449 483 574 563 593 474 499 553 500 521
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