Does 10K running time increase when the runner listens to music? Nine runners were timed as they ran a10K with and without listening to music. The running times in minutes are shown below.Running TimeWith50 51 42 53 37 42 51 52 53MusicWithout51 51 33 46 34 46 44 51 51MusicAssume a Normal distribution. What can be concluded at the the a = 0.10 level of significance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: Select an answerSelect an answerSelect an answerv (please enter a decimal)H: |Select an answerSelect an answerSelect 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.)%3Dd. The p-value is ? vae. 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 concludethat the nine runners finished in more time on average with music compared to runningwithout music.%3DO The results are statistically insignificant at a = 0.10, so there is statistically significantevidence to conclude that the population mean running time with music is equal to thepopulation mean running time without music.O The results are statistically significant at a = 0.10, so there is sufficient evidence to concludethat the population mean running time with music is greater than the population mean runningtime without music.%3DO The results are statistically insignificant at a = 0.10, so there is insufficient evidence toconclude that the population mean running time with music is greater than the populationmean 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 meanrunning time without music for these 9 runners and if another 9 runners are observed runningthe 10K with and without music then there would be a 4.9% chance of concluding that themean running time with music for the 9 runners is at least 2.7 minutes more than the meanrunning time for these 9 runners without music.O If the population mean running time with music is the same as the population mean runningtime without music and if another 9 runners compete with and without music then there wouldbe a 4.9% chance that the mean running time for the 9 runners would be at least 2.7 minutesmore 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 2.7minutes 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 runningtime without music and if another 9 runners compete with and without music then there wouldbe a 10% chance that we would end up falsely concluding that the population mean runningtime with music is greater than the population mean running time without musicO There is a 10% chance that the population mean running time is the same with and withoutmusic.O There is a 10% chance that the runners aren't in good enough shape to run a 10K, so music isirrelevant.O If the population mean running time with music is the same as the population mean runningtime without music and if another 9 runners compete in the 10K with and without music, thenthere would be a 10% chance that we would end up falsely concluding that the sample meanrunning times with music and without music for these 9 runners differ from each other.

Name: Does 10K running time increase when the runner listens to music? Nine
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Does 10K running time increase when the runner listens to music? Nine runners were timed as they ran a10K with and without listening to music. The running times in minutes are shown below.Running TimeWith50 51 42 53 37 42 51 52 53MusicWithout51 51 3

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