Is the average time to complete an obstacle course shorter 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 44 47 48 40 41 48 45 50 Left 45 50 45 40 41 50 44 52 Assume a Normal distribution. What can be concluded at the the a = 0.01 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 H₁: Select an answer Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (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. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

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Is the average time to complete an obstacle course shorter 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 44 47 48 40 41 48 45 50
Left 45 50 45 40 41 50 44 52
Assume a Normal distribution. What can be concluded at the the a = 0.01 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
Select an answer
(please enter a decimal)
(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.
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Transcribed Image Text:Is the average time to complete an obstacle course shorter 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 44 47 48 40 41 48 45 50 Left 45 50 45 40 41 50 44 52 Assume a Normal distribution. What can be concluded at the the a = 0.01 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 Select an answer (please enter a decimal) (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. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
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 = 0.01, 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 less than the population mean time to complete the obstacle course with a patch over the
left eye.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the eight volunteers that were completed the course faster on average with the patch
over the right eye compared to the left eye.
The results are statistically insignificant at a = 0.01, 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 less than the population mean time to complete the obstacle course with a patch
over the left eye.
The results are statistically insignificant at a = 0.01, 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.
Transcribed Image Text: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 = 0.01, 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 less than the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the eight volunteers that were completed the course faster on average with the patch over the right eye compared to the left eye. The results are statistically insignificant at a = 0.01, 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 less than the population mean time to complete the obstacle course with a patch over the left eye. The results are statistically insignificant at a = 0.01, 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.
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