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 for11 triathleteswhile 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.

Runner	Time to exhaustion (in seconds)
Motivational music	No music
1	535	469
2	533	447
3	529	484
4	521	573
5	432	564
6	498	594
7	555	473
8	397	497
9	536	554
10	544	500
11	523	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. (Use

_d=_{musicno music}.)

State the appropriate null and alternative hypotheses.

H₀:_d< 0

H_a:_d> 0

H₀:_d= 0

H_a:_d> 0

H₀:_d> 0

H_a:_d< 0

H₀:_d= 0

H_a:_d0

H₀:_d= 0

H_a:_d< 0

Find the test statistic. (Round your answer to two decimal places.)

t=

Use technology to find theP-value. (Round your answer to four decimal places.)

P-value =