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 participanton 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.For purposes of this exercise, 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)MotivationalmusicRunner12345P-value6Ho: Md > OHa: Md<7891011Ha: Md 0= 0Ho: MdH₂: Md < 0оно: накоHai Ma > OHo: Md = 0H₂: Md > 0< 0535534528Enter a number.522433496555399537541524USE SALTNo music468449481574Do 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 α = 0.05. (Used="music - Mno music.)State the appropriate null and alternative hypotheses.○ Ho: Md =0561591474499551500522Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.)t =State the conclusion in the problem context.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.

There are two dependent samples which are Motivational music and No music.We have to test whether…

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. For purposes of this exercise, 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) Runner 1 2 3 4 5 6 7 8 9 10 ⒸM₂! Ha <0 H₂i H₂O Motivational music H₂H0 Ⓒ Hoi Hg > 0 H₂i Ho <0 535 534 528 522 433 496 555 399 537 541 524 USE SALT No music 468 449 481 574 561 591 474 499 551 500 = Kg 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 a 0.05. (Use - Hmusic #no music) State the appropriate null and alternative hypotheses. ⒸM₂iHa=0 H₂: Hg 0 ○ Hoi Hg=0 522 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t- P-valueEnter a number State the conclusion in the problem context. 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 Ma. 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. For purposes of this exercise, 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) Runner 1 2 3 4 5 6 7 8 9 10 ⒸM₂! Ha <0 H₂i H₂O Motivational music H₂H0 Ⓒ Hoi Hg > 0 H₂i Ho <0 535 534 528 522 433 496 555 399 537 541 524 USE SALT No music 468 449 481 574 561 591 474 499 551 500 = Kg 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 a 0.05. (Use - Hmusic #no music) State the appropriate null and alternative hypotheses. ⒸM₂iHa=0 H₂: Hg 0 ○ Hoi Hg=0 522 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t- P-valueEnter a number State the conclusion in the problem context. 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 Ma. The data provide convincing evidence that the mean time to exhaustion for experienced triathletes is greater when they run while listening to motivational music

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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