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 46 44 58 44 44 57 37 41 48 With Music Ho: Select an answer ✓ H₁: Select an answer Without 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: 43 47 61 43 49 64 39 42 54 Select an answer V Select an answer V = Select an answer Select an answer (please enter a decimal) (Please enter a decimal) b. The test statistic ? c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should [Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) 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 less than 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 nine runners finished in less time on average with music compared to running without music. 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 less than the population mean running time without music.

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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
46 44 58 44 44 57 37 41 48
Ho: Select an answer ✓
H₁: Select an answer ✓
With
Music
Without
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:
=
43 47 61 43 49 64 39 42 54
Select an answer V
Select an answer V
b. The test statistic ? V
c. The p-value
d. The p-value is ? ✓ a
e. Based on this, we should
f. Thus, the final conclusion is that ...
=
Select an answer (please enter a decimal)
Select an answer V (Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
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 less than 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 nine runners finished in less time on average with music compared to running without
music.
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 less than the population mean
running time without music.
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 46 44 58 44 44 57 37 41 48 Ho: Select an answer ✓ H₁: Select an answer ✓ With Music Without 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: = 43 47 61 43 49 64 39 42 54 Select an answer V Select an answer V b. The test statistic ? V c. The p-value d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... = Select an answer (please enter a decimal) Select an answer V (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. 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 less than 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 nine runners finished in less time on average with music compared to running without music. 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 less than the population mean running time without music.
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