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 45 41 48 42 44 42 50 Left 45 46 41 46 44 44 42 53 Assume a Normal distribution. What can be concluded at the the a=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: Select an answer Select an answer Select an answer (please enter a decimal) H: Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ?B= (please show your answer to 3 decimal places.) c. The p-value= d. The p-value is ? Ba (Please show your answer to 4 decimal places.) 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 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. 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. 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 eye.