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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 46 46 47 44 45 48 47 Left 40 42 48 47 41 49 43 46 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? 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: μα 0 (please enter a decimal) H₁: ud > 0 (Please enter a decimal) b. The test statistic tv (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 a e. Based on this, we should fail to reject V the null hypothesis. f. Thus, the final conclusion is that The results are statistically significant at a = 0.05, 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 = 0.05, so there is insufficient evidence to

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 46 46 47 44 45 48 47 Left 40 42 48 47 41 49 43 46 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? 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: μα 0 (please enter a decimal) H₁: ud > 0 (Please enter a decimal) b. The test statistic tv (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 a e. Based on this, we should fail to reject V the null hypothesis. f. Thus, the final conclusion is that The results are statistically significant at a = 0.05, 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 = 0.05, so there is insufficient evidence to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 46 46 47 44 45 48 47 Left 40 42 48 47 41 49 43 46 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? 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 0 (please enter a decimal) H₁: ud > 0 (Please enter a decimal) b. The test statistic t (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 >✔✔ a e. Based on this, we should fail to reject ✓the null hypothesis. f. Thus, the final conclusion is that The results are statistically significant at a = 0.05, 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 = 0.05, so there is insufficient evidence to
Transcribed Image Text: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 46 46 47 44 45 48 47 Left 40 42 48 47 41 49 43 46 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? 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 0 (please enter a decimal) H₁: ud > 0 (Please enter a decimal) b. The test statistic t (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 >✔✔ a e. Based on this, we should fail to reject ✓the null hypothesis. f. Thus, the final conclusion is that The results are statistically significant at a = 0.05, 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 = 0.05, so there is insufficient evidence to
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