Homework Help is Here – Start Your Trial Now!
Math
Statistics
Does 10K running time change 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 49 32 34 43 53 46 50 46 55 58 44 41 42 57 57 49 45 63 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 With Music Without Music

Does 10K running time change 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 49 32 34 43 53 46 50 46 55 58 44 41 42 57 57 49 45 63 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 With Music Without Music

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Does 10K running time change 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 Ho: H₁: Select an answer ✓ With Music Assume a Normal distribution. For this study, we should use Select an answer Select an answer ✓ 49 32 34 43 53 46 50 46 55 34 43 53 a. The null and alternative hypotheses would be: Without Music What can be concluded at the the a = 0.01 level of significance? = 58 44 41 42 57 57 49 41 42 57 Select an answer ✓ 57 49 45 63 Select an answer ✓ 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 insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean running time with music is not the same as the population mean running time without music. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the nine runners finished with different times on average with music compared to running without music. 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 not the same as the population mean running time without music. The results are statistically insignificant at a = 0.01, 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.
Transcribed Image Text:Does 10K running time change 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 Ho: H₁: Select an answer ✓ With Music Assume a Normal distribution. For this study, we should use Select an answer Select an answer ✓ 49 32 34 43 53 46 50 46 55 34 43 53 a. The null and alternative hypotheses would be: Without Music What can be concluded at the the a = 0.01 level of significance? = 58 44 41 42 57 57 49 41 42 57 Select an answer ✓ 57 49 45 63 Select an answer ✓ 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 insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean running time with music is not the same as the population mean running time without music. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the nine runners finished with different times on average with music compared to running without music. 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 not the same as the population mean running time without music. The results are statistically insignificant at a = 0.01, 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.
g. Interpret the p-value in the context of the study. O There is a 1.62% chance that the mean running time for the 9 runners with music differs by at least 5.3 minutes compared to the mean time for these 9 runners without music. If 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 1.62% chance of concluding that the mean running time with music for the 9 runners differs by at least 5.3 minutes from 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 1.62% chance that the mean running time for the 9 runners with music would differ by at least 5.3 minutes compared to the 9 runners competing without music. O There is a 1.62% chance of a Type I error. h. Interpret the level of significance in the context of the study. 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 1% chance that we would end up falsely concluding that the population mean running time with music is not the same as the population mean running time 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 in the 10K with and without music, then there would be a 1% 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. There is a 1% chance that the population mean running time is the same with and without music. O There is a 1% chance that the runners aren't in good enough shape to run a 10K, so music is irrelevant.
Transcribed Image Text:g. Interpret the p-value in the context of the study. O There is a 1.62% chance that the mean running time for the 9 runners with music differs by at least 5.3 minutes compared to the mean time for these 9 runners without music. If 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 1.62% chance of concluding that the mean running time with music for the 9 runners differs by at least 5.3 minutes from 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 1.62% chance that the mean running time for the 9 runners with music would differ by at least 5.3 minutes compared to the 9 runners competing without music. O There is a 1.62% chance of a Type I error. h. Interpret the level of significance in the context of the study. 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 1% chance that we would end up falsely concluding that the population mean running time with music is not the same as the population mean running time 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 in the 10K with and without music, then there would be a 1% 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. There is a 1% chance that the population mean running time is the same with and without music. O There is a 1% chance that the runners aren't in good enough shape to run a 10K, so music is irrelevant.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS