Only questions B & C- thank you :) Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a10K with and without listening to music. The running times in minutes are shown below.Running TimeWithMusic| 48 58 45 49 41 45 47 40 55WithoutMusic54 57 45 48 46 43 50 43 56Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance?For this study, we should use test for the difference between two independent population meansa. The null and altemative hypotheses would be:Ho: ud(please enter a decimal)H: pd(Please enter a decimal)b. The test statistic t v(please show your answer to 3 decimal places.)%3Dc. The p-value =d. The p-value is E ♥e. Based on this, we should fail to rejectf. Thus, the final conclusion is that ...(Please show your answer to 4 decimal places. )the null hypothesis.The results are statistically insignificant at a = 0.05, so there is insufficient evidence toconclude that the population mean running time with music is less than the population meanrunning time without music.O The results are statistically significant at a = 0.05, so there is sufficient evidence to concludethat the nine runners finished in less time on average with music compared to running withoutmusic.

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Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time With 48 58 45 49 41 45 47 40 55 Music Without 54 57 45 48 45 43 50 43 55 Music Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance? For this study, we should use Hest for the difference betvieen two independent population means a. The null and altemative hypotheses would be: Hạ: ud (please enter a decimal) H1: ud (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is e. Based on this, we should fail to reject the null hypothesis. f. Thus, the final conclusion is that . The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean running time with music is less than the population mean running time without music. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the nine runners finished in less time on average with music compared to running without music.

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ISBN:9781119256830

Author:Amos Gilat

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Only questions B & C- thank you :)

Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a
10K with and without listening to music. The running times in minutes are shown below.
Running Time
With
Music
| 48 58 45 49 41 45 47 40 55
Without
Music
54 57 45 48 46 43 50 43 56
Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance?
For this study, we should use test for the difference between two independent population means
a. The null and altemative hypotheses would be:
Ho: ud
(please enter a decimal)
H: pd
(Please enter a decimal)
b. The test statistic t v
(please show your answer to 3 decimal places.)
%3D
c. The p-value =
d. The p-value is E ♥
e. Based on this, we should fail to reject
f. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places. )
the null hypothesis.
The results are statistically insignificant at a = 0.05, so there is insufficient evidence to
conclude that the population mean running time with music is less than the population mean
running time without music.
O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the nine runners finished in less time on average with music compared to running without
music.

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