4 matched pairs

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 With Music 40 48 46 41 43 39 51 42 40 Without 43 53 46 40 51 45 46 47 47 Music Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: H1 V X = VY H2 X (please enter a decimal) H1 : p1 v X + H2 X (Please enter a decimal) b. The test statistic t v v = -2.178 (please show your answer to 3 decimal places.) c. The p-value = |0.0610 (Please show your answer to 4 decimal places.) d. The p-value is > v v a e. Based on this, we should fail to reject vy the null hypothesis. f. Thus, the final conclusion is that .. 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. 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. 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 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