Does 10K running time decrease when the runner listens to music? Nine runners were timed as the ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time With 47 37 45 42 46 43 54 45 47 Music Without 45 35 51 46 50 50 54 41 49 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 answer (please enter a decimal) H1: (Select an answer Select an answer (Please enter a decimal) Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) C. The p-value = d. The p-value is (? (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that... 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. OThe 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 nonulation

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I need help with parts b-d
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
47 37 45 42 46 43 54 45 47
Music
Without
45 35 51 46 50 50 54 41
49
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 V
Select an answer v (please enter a decimal)
H: Select an answer
(Please enter a decimal)
Select an answer
Select an answer
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 (? v a
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 less time on average with music compared to
running without music.
OThe 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 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
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 With 47 37 45 42 46 43 54 45 47 Music Without 45 35 51 46 50 50 54 41 49 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 V Select an answer v (please enter a decimal) H: Select an answer (Please enter a decimal) Select an answer Select an answer 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 (? v a 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 less time on average with music compared to running without music. OThe 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 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
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