ne average time to complete an obstacle course shorter when a patch is plac ch is placed over the left eye? Thirteen randomly selected volunteers first ce atch over one eye and then completed an equally difficult obstacle course w nnletion times are shown helow. "Left" means the patch was placed over the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Question
O Hints
O (135) H X
O Hints
O Hints
O (135) F X
O (135) F X
(135) C x
O (135) C X
O (135) C X
= 9.5
Paus
thas/assessment/showtest.php?action3skip&to=3
Show Intro/Instructions
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.
(0/1)
2 (0/1)
3 (0/1)
4 (0/1)
5 (0/1)
Time to Complete the Course
6 (0/1)
Right 42 40 43 45 42 41 45 47
7 (0/1)
8 [1/1]
Left 43 45 45 48 43 43 45 50
9 (0.6/1)
Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of
n 10 (0.4/1)
n 11 (0.8/1)
n 12 (0.9/1)
n 13 (0.7/1)
significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
-/13
Ho: Select an answer v ?v Select an answer v (please enter a decimal)
H: Select an answer v?v
Select an answer v (Please enter a decimal)
b. The test statistic ? v
(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 v the null hypothesis.
(Please show your answer to 4 decimal places.)
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 faster 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 obstacle course with a patch over the left
sment/showtest.php?action=skip&to=6
DII
DD
F3
F4
F5
F7
F8
F9
F10
F12
%23
%24
&
4
5
8.
9.
R
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Transcribed Image Text:O Hints O (135) H X O Hints O Hints O (135) F X O (135) F X (135) C x O (135) C X O (135) C X = 9.5 Paus thas/assessment/showtest.php?action3skip&to=3 Show Intro/Instructions 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. (0/1) 2 (0/1) 3 (0/1) 4 (0/1) 5 (0/1) Time to Complete the Course 6 (0/1) Right 42 40 43 45 42 41 45 47 7 (0/1) 8 [1/1] Left 43 45 45 48 43 43 45 50 9 (0.6/1) Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of n 10 (0.4/1) n 11 (0.8/1) n 12 (0.9/1) n 13 (0.7/1) significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: -/13 Ho: Select an answer v ?v Select an answer v (please enter a decimal) H: Select an answer v?v Select an answer v (Please enter a decimal) b. The test statistic ? v (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 v the null hypothesis. (Please show your answer to 4 decimal places.) 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 faster 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 obstacle course with a patch over the left sment/showtest.php?action=skip&to=6 DII DD F3 F4 F5 F7 F8 F9 F10 F12 %23 %24 & 4 5 8. 9. R Y U
O Hints
O (135) H X
O Hints
O Hints
O (135) F X
D (135) F X
O (135) C X
D (135)
O (135) C X
* E G
thas/assessment/showtest.php?action=skip&to=3
(0/1)
Right 42 40
45 42 41 45 47
(0/1)
Left
43 45 45 48 43 43 45 50
[1/1]
(0.6/1)
Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of
10 (0.4/1)
11 (0.8/1)
significance?
12 (0.9/1)
For this study, we should use Select an answer
13 (0.7/1)
a. The null and alternative hypotheses would be:
13
Ho: Select an answer v? v Select an answer v (please enter a decimal)
H1: Select an answer v
v Select an answer v (Please enter a decimal)
b. The test statistic ?v
(please show your answer to 3 decimal places.)
c. The p-value =
d. The p-value is ? va
e. Based on this, we should Select an answer v the null hypothesis.
(Please show your answer to 4 decimal places.)
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 faster 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 státistically 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 insignificant at a = 0.05, so there is insuffīcient 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 = 0.05, 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.
Hint Helpfunl Video
DII
DD
F6
F7
FB
F10
F11
F12
%23
24
&
3
4
8
9.
R
T
Y
DE
J
K
Transcribed Image Text:O Hints O (135) H X O Hints O Hints O (135) F X D (135) F X O (135) C X D (135) O (135) C X * E G thas/assessment/showtest.php?action=skip&to=3 (0/1) Right 42 40 45 42 41 45 47 (0/1) Left 43 45 45 48 43 43 45 50 [1/1] (0.6/1) Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of 10 (0.4/1) 11 (0.8/1) significance? 12 (0.9/1) For this study, we should use Select an answer 13 (0.7/1) a. The null and alternative hypotheses would be: 13 Ho: Select an answer v? v Select an answer v (please enter a decimal) H1: Select an answer v v Select an answer v (Please enter a decimal) b. The test statistic ?v (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. (Please show your answer to 4 decimal places.) 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 faster 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 státistically 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 insignificant at a = 0.05, so there is insuffīcient 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 = 0.05, 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. Hint Helpfunl Video DII DD F6 F7 FB F10 F11 F12 %23 24 & 3 4 8 9. R T Y DE J K
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right 42 40 43 45 42 41 45 47
left 43 45 45 48 43 43 45 50
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