Need help please! Is the average time to complete an obstacle course longer when a patch is placed over the right eye thanwhen 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 43 47 48 49 50 41 47 49Left 42 45 47 45 46 43 47 49Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level ofsignificance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: Select an answerH₁: Select an answerSelect an answerSelect an answerb. The test statistic ? ✔c. The p-value=d. The p-value is ? ✓ ae. Based on this, we shouldf. Thus, the final conclusion is that ...Select an answer ✓Select an answer(please enter a decimal)(Please enter a decimal)(please show your answer to 3 decimal places.)(Please show your answer to 4 decimal places.)Select an answer the null hypothesis.O The results are statistically insignificant at a = 0.10, so there is insufficient evidence toconclude that the population mean time to complete the obstacle course with a patch over theright eye is greater than the population mean time to complete the obstacle course with apatch over the left eye.The results are statistically significant at a = 0.10, so there is sufficient evidence to concludethat the population mean time to complete the obstacle course with a patch over the right eyeis greater than the population mean time to complete the obstacle course with a patch overthe left eye.The results are statistically insignificant at a = 0.10, 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.The results are statistically significant at a = 0.10, so there is sufficient evidence to concludethat the eight volunteers that were completed the course slower on average with the patchover the right eye compared to the left eye.

The question is about hypothesis testing.Given :To find : Identify the test.a ) Hypotheses for the test.b ) Value of test statisticc ) p valued ) Comparison with e ) Decisionf ) ConclusionFor this study, t test for difference between two dependent population means.a )Null and alternative hypothesis :Research statement : The average time to complete obstacle course patch over right eye is longer than patch over left eye.The word " longer " indicates > sign, so it would go under alternative hypothesis.b )The formula is given byNo. of selected volunteers ( n ) = 8Plugging values in the above formulaec )p value approach :Since the alternative hypothesis has> sign, so it is a right tailed test.Using excel command, So,d and e )Given : i ) Reject H0 if ii ) Fail to reject H0 if Here, Hence, reject H0 f )Conclusion :The result is statistically significant.There is sufficient evidence to conclude that the average time to complete obstacle course patch over right eye is longer than patch over left eye.Answer : Option 2t test for difference between two dependent population means is used.a )b ) Test statistic ( t ) = 1.722c ) p value = 0.0644d ) e ) Decision : Reject the null hypothesis.f )Conclusion :The result is statistically significant.There is sufficient evidence to conclude that the average time to complete obstacle course patch over right eye is longer than patch over left eye.Answer : Option 2

Math

Statistics

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 47 48 49 50 41 47 49 Left 42 45 47 45 46 43 47 49 Assume a Normal distribution. What can be concluded at the the a = 0.10 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 H₁ Select an answer ✓ Select an answer Select an answer ✓ (please enter a decimal) Select an answer (Please enter a decimal) b. The test statistic [ c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should [Select an answer the null hypothesis. f. Thus, the final conclusion is that ... v= (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) The results are statistically insignificant at a = 0.10, 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 significant at a = 0.10, 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. The results are statistically insignificant at a = 0.10, 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 = 0.10, 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.