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? 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 50 48 40 40 42 42 45 43 Left 46 45 39 39 40 36 41 39 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 (please enter a decimal) Select an answer Select an answer H: (Select an answer Select an answer | (Please enter a decimal) Select an answer b. The test statistic ? |(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 (?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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I need help with parts b-d
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? 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 50 48 40 40 42 42 45 43
Left 46 45 39 39 40 36 41 39
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
Select an answer
Select an answer
- (please enter a decimal)
H: Select an answer v
Select an answer
Select an answer
v (Please enter a decimal)
b. The test statistic
(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 a
e. Based on this, we should [ Select an answer
the null hypothesis.
f. Thus, the final conclusion is that ...
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 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
Transcribed Image Text: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? 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 50 48 40 40 42 42 45 43 Left 46 45 39 39 40 36 41 39 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 Select an answer Select an answer - (please enter a decimal) H: Select an answer v Select an answer Select an answer v (Please enter a decimal) b. The test statistic (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 a e. Based on this, we should [ Select an answer the null hypothesis. f. Thus, the final conclusion is that ... 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 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
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