Irse with a patch over one eye and then completed an he other eye. The completion times are shown below. and "Right" means the patch was placed over the right Time to Complete the Cou Right 45 41 46 50 41 43 Left 46 40 47 53 42 48

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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 45 41 46 50 41 43 48 40
Left 46 40 47 53 42 48 48 40
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 ✓
b. The test statistic ? ✓
=
(please enter a decimal)
Select an answer (Please enter a decimal)
Select an answer
(please show your answer to 3 decimal places.)
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 ...
(Please show your answer to 4 decimal places.)
O 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 not the same as 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 in the same amount of time 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 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 = 0.01, 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 not the same as the population mean time to complete the obstacle course with a patch
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 45 41 46 50 41 43 48 40 Left 46 40 47 53 42 48 48 40 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 ✓ b. The test statistic ? ✓ = (please enter a decimal) Select an answer (Please enter a decimal) Select an answer (please show your answer to 3 decimal places.) 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 ... (Please show your answer to 4 decimal places.) O 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 not the same as 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 in the same amount of time 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 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 = 0.01, 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 not the same as the population mean time to complete the obstacle course with a patch
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman