V X Does 10K running time change when the runner listens to music? Nine runners were timed as they ran a 10K J Paused with and without listening to music. The running times in minutes are shown below. Running Time With 15 56 57 54 44 41 38 41 Music Without 61 60 65 50 63 49 38 38 43 Music Assume a Normal distribution. What can be concluded at the the o = 0.01 level of significance? For this study, we should use | Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v | Select an answer v Select an answer v | (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (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.) d. The p-value is ? v o e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at o = 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. O The results are statistically insignificant at o = 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. The results are statistically significant at o = 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 insignificant at o = 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. g. Interpret the p-value in the context of the study. O 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 1.88% chance of concluding that the mean running time with music for the 9 runners differs by at least 5.6 minutes from the mean running time for these 9 runners without music. There is a 1.88% chance of a Type | error. There is a 1.88% chance that the mean running time for the 9 runners with music differs by at east 5.6 minutes compared to the mean time for these 9 runners without music