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? Eight 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 41 49 48 47 41 49 48 49 Left 39 47 50 49 39 50 48 47 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 Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer v H: Select an answer v Select an answer Select an answer b. The test statistic ? = (For intermediate statistics, please round to 1 decimal place. Then show your test statistic to 3 decimal places.) c. The p-value = (Note: If you do not have a Ti-83/84, then please use the Google Sheet function =TDIST(abs(Test Stat),degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to report the answer accurate to four decimal places. Use the rounded test statístic value.) d. The p-value is ? a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, 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. O 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 in the same amount of time on average with the patch over the right eye compared to the left eye. O The results are statistically insignificant at a = 0.05, 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.

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? Eight 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 41 49 48 47 41 49 48 49 Left 39 47 50 49 39 50 48 47 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 Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer v H: Select an answer v Select an answer Select an answer b. The test statistic ? = (For intermediate statistics, please round to 1 decimal place. Then show your test statistic to 3 decimal places.) c. The p-value = (Note: If you do not have a Ti-83/84, then please use the Google Sheet function =TDIST(abs(Test Stat),degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to report the answer accurate to four decimal places. Use the rounded test statístic value.) d. The p-value is ? a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, 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. O 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 in the same amount of time on average with the patch over the right eye compared to the left eye. O The results are statistically insignificant at a = 0.05, 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 9CYU

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