panying table lists distances (mm) between puplis of randomly selected 0.S. Army persoOnnel collected as part of a large reputable study. Results from twoway analysSis or varn also shown. Ose the displayed results and use a 0.05 sigh iicance level. What do you conclude? First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Distances between pupils are affected by an interaction between gender and handedness. H,: Distances between pupils are not affected by an interaction between gender and handedness. - X Data and Two-Way ANOVA Results O B. Ho: Distances between pupils are not affected by handedness. H: Distances between pupils are affected by handedness. Right-Handed 65 64 59 60 57 65 62 68 70 69 OC. Ho: Distances between pupils are not affected by gender. Left-Handed 71 63 62 69 63 68 68 63 66 65 Female H,: Distances between pupils are affected by gender. Male O D. Ho: Distances between pupils are not affected by an interaction between gender and handedness. H: Distances between pupils are affected by an interaction between gender and handedness. Critical F: P-Value: Source: Interaction: Row Variable: Column Variable: DF: S: MS: Test Stat, F: 36.45 48.05 36.45 3.35172 4.49401 0.08582 0.05174 48.05 18.05 4.49401 4.49401 1 4.41839 Determine the test statistic. 1 18.05 1.65977 0.21595 The test statistic is (Round to two decimal places as needed.)
panying table lists distances (mm) between puplis of randomly selected 0.S. Army persoOnnel collected as part of a large reputable study. Results from twoway analysSis or varn also shown. Ose the displayed results and use a 0.05 sigh iicance level. What do you conclude? First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Distances between pupils are affected by an interaction between gender and handedness. H,: Distances between pupils are not affected by an interaction between gender and handedness. - X Data and Two-Way ANOVA Results O B. Ho: Distances between pupils are not affected by handedness. H: Distances between pupils are affected by handedness. Right-Handed 65 64 59 60 57 65 62 68 70 69 OC. Ho: Distances between pupils are not affected by gender. Left-Handed 71 63 62 69 63 68 68 63 66 65 Female H,: Distances between pupils are affected by gender. Male O D. Ho: Distances between pupils are not affected by an interaction between gender and handedness. H: Distances between pupils are affected by an interaction between gender and handedness. Critical F: P-Value: Source: Interaction: Row Variable: Column Variable: DF: S: MS: Test Stat, F: 36.45 48.05 36.45 3.35172 4.49401 0.08582 0.05174 48.05 18.05 4.49401 4.49401 1 4.41839 Determine the test statistic. 1 18.05 1.65977 0.21595 The test statistic is (Round to two decimal places as needed.)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Question
13.
![The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance
level. What do you conclude?
First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Distances between pupils are affected by an interaction between gender and handedness.
H,: Distances between pupils are not affected by an interaction between gender and handedness.
Data and Two-Way ANOVA Results
: Distances between pupils are not affected by handedness.
В. Но
H,: Distances between pupils are affected by handedness.
O C. Ho: Distances between pupils are not affected by gender.
Right-Handed
Left-Handed
Female
65 64 59 60 57
71 63 62 69 63
H4: Distances between pupils are affected by gender.
Male
65 62 68 70 69
68 68 63 66 65
O D. Ho: Distances between pupils are not affected by an interaction between gender and handedness.
Source:
DF:
S:
MS:
Test Stat, F:
Critical F:
P-Value:
H,: Distances between pupils are affected by an interaction between gender and handedness.
Interaction:
1
36.45
36.45
3.35172
4.49401
0.08582
Row Variable:
1
48.05
48.05
4.41839
4.49401
0.05174
Determine the test statistic.
Column Variable:
1
18.05
18.05
1.65977
4.49401
0.21595
The test statistic is
(Round to two decimal places as needed.)
Determine the P-value.
Print
Done
The P-value is
(Round to three decimal places as needed.)
Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.
O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.
B. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.
C. Reject Ho: There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.
D. Reject Ho: There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30db9f1e-d178-4cee-abf7-7f755c646aff%2F8551dd54-3b66-4672-a8cd-f64f720295eb%2Fx4x7dy_processed.png&w=3840&q=75)
Transcribed Image Text:The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance
level. What do you conclude?
First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Distances between pupils are affected by an interaction between gender and handedness.
H,: Distances between pupils are not affected by an interaction between gender and handedness.
Data and Two-Way ANOVA Results
: Distances between pupils are not affected by handedness.
В. Но
H,: Distances between pupils are affected by handedness.
O C. Ho: Distances between pupils are not affected by gender.
Right-Handed
Left-Handed
Female
65 64 59 60 57
71 63 62 69 63
H4: Distances between pupils are affected by gender.
Male
65 62 68 70 69
68 68 63 66 65
O D. Ho: Distances between pupils are not affected by an interaction between gender and handedness.
Source:
DF:
S:
MS:
Test Stat, F:
Critical F:
P-Value:
H,: Distances between pupils are affected by an interaction between gender and handedness.
Interaction:
1
36.45
36.45
3.35172
4.49401
0.08582
Row Variable:
1
48.05
48.05
4.41839
4.49401
0.05174
Determine the test statistic.
Column Variable:
1
18.05
18.05
1.65977
4.49401
0.21595
The test statistic is
(Round to two decimal places as needed.)
Determine the P-value.
Print
Done
The P-value is
(Round to three decimal places as needed.)
Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.
O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.
B. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.
C. Reject Ho: There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.
D. Reject Ho: There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.
![IT appropriate, test for an effect from tne row factor. Choose ine correct answer pelow.
A. Ho: Men and women have the same population mean distance between pupils.
H,: Men and women have different population mean distances between pupils.
B. Ho: Left-handed people and right-handed people have different population mean distances between pupils.
H4: Left-handed people and right-handed people have the same population mean distance between pupils.
C. Ho: Left-handed people and right-handed people have the same population mean distance between pupils.
H1: Left-handed people and right-handed people have different population mean distances between pupils.
O D. Ho: Men and women have different population mean distances between pupils.
H,: Men and women have the same population mean distance between pupils.
E. This test is not appropriate due to the results of the test for interaction between the two factors.
If appropriate, determine the test statistic. Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The test statistic is.
(Round to two decimal places as needed.)
B. This test is not appropriate due to the results of the test for interaction between the two factors.
If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The P-value is.
(Round to three decimal places as needed.)
B. This test is not appropriate due to the results of the test for interaction between the two factors.
If appropriate, determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.
O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Handedness does not appear to have an effect on distance between pupils.
B. Reject Ho. There is sufficient evidence to support the alternative hypothesis. Gender appears to have an effect on distance between pupils.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30db9f1e-d178-4cee-abf7-7f755c646aff%2F8551dd54-3b66-4672-a8cd-f64f720295eb%2F6gub5es_processed.png&w=3840&q=75)
Transcribed Image Text:IT appropriate, test for an effect from tne row factor. Choose ine correct answer pelow.
A. Ho: Men and women have the same population mean distance between pupils.
H,: Men and women have different population mean distances between pupils.
B. Ho: Left-handed people and right-handed people have different population mean distances between pupils.
H4: Left-handed people and right-handed people have the same population mean distance between pupils.
C. Ho: Left-handed people and right-handed people have the same population mean distance between pupils.
H1: Left-handed people and right-handed people have different population mean distances between pupils.
O D. Ho: Men and women have different population mean distances between pupils.
H,: Men and women have the same population mean distance between pupils.
E. This test is not appropriate due to the results of the test for interaction between the two factors.
If appropriate, determine the test statistic. Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The test statistic is.
(Round to two decimal places as needed.)
B. This test is not appropriate due to the results of the test for interaction between the two factors.
If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The P-value is.
(Round to three decimal places as needed.)
B. This test is not appropriate due to the results of the test for interaction between the two factors.
If appropriate, determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.
O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Handedness does not appear to have an effect on distance between pupils.
B. Reject Ho. There is sufficient evidence to support the alternative hypothesis. Gender appears to have an effect on distance between pupils.
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