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 55 48 40 42 47 41 45 45 45 Without 54 50 44 56 46 56 48 45 48 Music Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be:

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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
55 48 40 42 47 41 45 45 45
With
Music
Without
Music
54 50 44 56 46 56 48 45 48
Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Họ: Select an answer
Select an answer
Select an answer
(please enter a decimal)
H: Select an answer V
Select an answer
| (Please enter a decimal)
Select an answer V
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 Select an answer
f. Thus, the final conclusion is that ...
| the null hypothesis.
O The results are statistically significant at a = 0.01, so there is sufficient 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 = 0.01, so there is sufficient evidence to conclude
Transcribed Image Text: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 55 48 40 42 47 41 45 45 45 With Music Without Music 54 50 44 56 46 56 48 45 48 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Họ: Select an answer Select an answer Select an answer (please enter a decimal) H: Select an answer V Select an answer | (Please enter a decimal) Select an answer V 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 Select an answer f. Thus, the final conclusion is that ... | the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient 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 = 0.01, so there is sufficient evidence to conclude
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