Is the average time to complete an obstacle course longer when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 43 42 45 43 42 43 44 44 Left 42 42 47 41 42 43 46 44 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? %3D 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: ud v (please enter a decimal) H1: pd (Please enter a decimal) b. The test statistic t v = -0.261 (please show your answer to 3 decimal places.) c. The p-value = 0.4008 d. The p-value is > a e. Based on this, we should fail to reject f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) ]the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is greater than the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is equal to the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the eight volunteers that were completed the course slower on average with the patch over the right eye compared to the left eye. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is greater than the population mean time to complete the obstacle course with a patch over the left eye.