Does 10K running time increase 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 50 51 42 53 37 42 51 52 53 Music Without 51 51 33 46 34 46 44 51 51 Music Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ?v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.)

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Does 10K running time increase 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
50 51 42 53 37 42 51 52 53
Music
Without
51 51 33 46 34 46 44 51 51
Music
Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho: Select an answer
Select an answer
Select an answerv (please enter a decimal)
H: |Select an answer
Select an answer
Select an answer
(Please enter a decimal)
b. The test statistic ?v=
(please show your answer to 3 decimal places.)
c. The p-value =
(Please show your answer to 4 decimal places.)
%3D
d. The p-value is ? va
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the nine runners finished in more time on average with music compared to running
without music.
%3D
O The results are statistically insignificant at a = 0.10, so there is statistically significant
evidence to conclude that the population mean running time with music is equal to the
population mean running time without music.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean running time with music is greater than the population mean running
time without music.
%3D
O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to
conclude that the population mean running time with music is greater than the population
mean running time without music.
g. Interpret the p-value in the context of the study.
O There is a 4.9% chance of a Type I error.
O f the sample mean running time with music for the 9 runners is the same as the sample mean
running time without music for these 9 runners and if another 9 runners are observed running
the 10K with and without music then there would be a 4.9% chance of concluding that the
mean running time with music for the 9 runners is at least 2.7 minutes more than the mean
running time for these 9 runners without music.
O If the population mean running time with music is the same as the population mean running
time without music and if another 9 runners compete with and without music then there would
be a 4.9% chance that the mean running time for the 9 runners would be at least 2.7 minutes
more with music compared to them running without music.
O There is a 4.9% chance that the mean running time for the 9 runners with music is at least 2.7
minutes more than the mean time for these 9 runners without music.
h. Interpret the level of significance in the context of the study.
OIf the population mean running time with music is the same as the population mean running
time without music and if another 9 runners compete with and without music then there would
be a 10% chance that we would end up falsely concluding that the population mean running
time with music is greater than the population mean running time without music
O There is a 10% chance that the population mean running time is the same with and without
music.
O There is a 10% chance that the runners aren't in good enough shape to run a 10K, so music is
irrelevant.
O If the population mean running time with music is the same as the population mean running
time without music and if another 9 runners compete in the 10K with and without music, then
there would be a 10% chance that we would end up falsely concluding that the sample mean
running times with music and without music for these 9 runners differ from each other.
Transcribed Image Text:Does 10K running time increase 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 50 51 42 53 37 42 51 52 53 Music Without 51 51 33 46 34 46 44 51 51 Music Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answerv (please enter a decimal) H: |Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ?v= (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) %3D d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the nine runners finished in more time on average with music compared to running without music. %3D O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean running time with music is equal to the population mean running time without music. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean running time with music is greater than the population mean running time without music. %3D O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean running time with music is greater than the population mean running time without music. g. Interpret the p-value in the context of the study. O There is a 4.9% chance of a Type I error. O f the sample mean running time with music for the 9 runners is the same as the sample mean running time without music for these 9 runners and if another 9 runners are observed running the 10K with and without music then there would be a 4.9% chance of concluding that the mean running time with music for the 9 runners is at least 2.7 minutes more than the mean running time for these 9 runners without music. O If the population mean running time with music is the same as the population mean running time without music and if another 9 runners compete with and without music then there would be a 4.9% chance that the mean running time for the 9 runners would be at least 2.7 minutes more with music compared to them running without music. O There is a 4.9% chance that the mean running time for the 9 runners with music is at least 2.7 minutes more than the mean time for these 9 runners without music. h. Interpret the level of significance in the context of the study. OIf the population mean running time with music is the same as the population mean running time without music and if another 9 runners compete with and without music then there would be a 10% chance that we would end up falsely concluding that the population mean running time with music is greater than the population mean running time without music O There is a 10% chance that the population mean running time is the same with and without music. O There is a 10% chance that the runners aren't in good enough shape to run a 10K, so music is irrelevant. O If the population mean running time with music is the same as the population mean running time without music and if another 9 runners compete in the 10K with and without music, then there would be a 10% chance that we would end up falsely concluding that the sample mean running times with music and without music for these 9 runners differ from each other.
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