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 45 51 48 41 46 41 52 50 51 With Music Without 55 56 61 41 50 50 61 48 54 Music Assume a Normal distribution. What can be concluded at the the ax = 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 H₁: Select an answer Select an answer Select an answer b. The test statistic c. The p-value= d. The p-value is ? Va e. Based on this, we should f. Thus, the final conclusion is that ... Select an answer Select an answer (please enter a decimal) (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 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 population mean running time 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 not the same as the population mean running time without music. O The results are statistically significant at x = 0.10, 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 significant at a = 0.10, so there is sufficient evidence to conclude that the nine runners finished with different times on average with music compared to running 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 0.88% chance of concluding that the mean running time with music for the 9 runners differs by at least 5.7 minutes from the mean running time for these 9 runners without music. OIf 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 0.88% chance that the mean running time for the 9 runners with music would differ by at least 5.7 minutes compared to the 9 runners competing without music. There is a 0.88% chance that the mean running time for the 9 runners with music differs by at least 5.7 minutes compared to the mean time for these 9 runners without music. O There is a 0.88% chance of a Type I error. h. Interpret the level of significance in the context of the study. O There is a 10% chance that the runners aren't in good enough shape to run a 10K, so music is irrelevant. 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 10% 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. 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 10% 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 There is a 10% chance that the population mean running time is the same with and without music.