Is the average time to complete an obstacle course different when a patch is placed over the right eyethan when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed anobstacle course with a patch over one eye and then completed an equally difficult obstacle course with apatch over the other eye. The completion times are shown below. "Left" means the patch was placed overthe left eye and "Right" means the patch was placed over the right eye.Time to Complete the CourseRight 40 40 41 43 49 48 45 48Left3736 41 43 48 46 46 43Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level ofsignificance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Họ: pdvV (please enter a decimal)Select an answer vH1: udvv (Please enter a decimal)Select an answer vb. The test statistic t v-(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 v aలోe. Based on this, we should fail to rejectthe null hypothesis.f. Thus, the final conclusion is that ...O The results are statistically insignificant at a = 0.05, so there is insufficient evidence toconclude that the population mean time to complete the obstacle course with a patch over theright eye is not the same as the population mean time to complete the obstacle course with apatch over the left eye.O The results are statistically insignificant at a = 0.05, so there is statistically significantevidence to conclude that the population mean time to complete the obstacle course with apatch over the right eye is equal to the population mean time to complete the obstacle coursewith a patch over the left eye.O The results are statistically significant at a = 0.05, so there is sufficient evidence to concludethat the eight volunteers that were completed the course in the same amount of time onaverage with the patch over the right eye compared to the left eye.O The results are statistically significant at a = 0.05, so there is sufficient evidence to concludethat the population mean time to complete the obstacle course with a patch over the right eyeis not the same as the population mean time to complete the obstacle course with a patchover the left eye.

Question

Is the average time to complete an obstacle course different when a patch is placed over the right eyethan when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed anobstacle course with a patch over one eye and then completed an equally difficult obstacle course with apatch over the other eye. The completion times are shown below. &#34;Left&#34; means the patch was placed overthe left eye and &#34;Right&#34; means the patch was placed over the right eye.Time to Complete the CourseRight 40 40 41 43 49 48 45 48Left3736 41 43 48 46 46 43Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level ofsignificance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Họ: pdvV (please enter a decimal)Select an answer vH1: udvv (Please enter a decimal)Select an answer vb. The test statistic t v-(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 >v aలోe. Based on this, we should fail to rejectthe null hypothesis.f. Thus, the final conclusion is that ...O The results are statistically insignificant at a = 0.05, so there is insufficient evidence toconclude that the population mean time to complete the obstacle course with a patch over theright eye is not the same as the population mean time to complete the obstacle course with apatch over the left eye.O The results are statistically insignificant at a = 0.05, so there is statistically significantevidence to conclude that the population mean time to complete the obstacle course with apatch over the right eye is equal to the population mean time to complete the obstacle coursewith a patch over the left eye.O The results are statistically significant at a = 0.05, so there is sufficient evidence to concludethat the eight volunteers that were completed the course in the same amount of time onaverage with the patch over the right eye compared to the left eye.O The results are statistically significant at a = 0.05, so there is sufficient evidence to concludethat the population mean time to complete the obstacle course with a patch over the right eyeis not the same as the population mean time to complete the obstacle course with a patchover the left eye.

Accepted Answer

The data shows the obstacle course with a patch over one eye and then completed an equally difficult…