Is the average time to complete an obstacle course different 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 49 42 50 49 48 50 48 41 Left 48 43 49 49 50 50 50 39 Assume a Normal distribution. What can be concluded at the the o = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho : 12 (please enter a decimal) H1: 41 E CH2 (Please enter a decimal) b. The test statistic 7 = (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 ? o e. Based on this, we should | Select an answer @ the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at or = 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 not the same as the population mean time to complete the obstacle course with a patch over the left eye. The results are statistically insignificant at o = 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 not the same as the population mean time to complete the obstacle course with a patch over the left eye. The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude that the eight volunteers that were completed the course in the same amount of time on average with the patch over the right eye compared to the left eye. The results are statistically insignificant at o = 0.01, so there is statistically significant evidence to conclude that the population mean time to complete the