ALL 24 CHAPTERS COVERED
SOLUTIONS MANUAL
, Contents
Chapter 1: Drawing Statistical Conclusions 1
Chapter 2: Inference Using t-Distributions 5
Chapter 3: A Closer Look at Assumptions 9
Chapter 4: Alternatives to the t-Tools 15
Chapter 5: Comparisons Among Several Samples 20
© Cengage Learning. All rights reserved. No distribution allowed without express authorization.
Chapter 6: Linear Combinations and Multiple Comparisons of Means 25
Chapter 7: Simple Linear Regression: A Model for the Mean 33
Chapter 8: A Closer Look at Assumptions for Simple Linear Regression 39
Chapter 9: Multiple Regression 47
Chapter 10: Inferential Tools for Multiple Regression 55
Chapter 11: Model Checking and Refinement 65
Chapter 12: Model Selection with Large Numbers of Explanatory Variables 80
Chapter 13: The Analysis of Variance for Two-way Classification 85
Chapter 14: Multifactor Studies 91
Chapter 15: Adjustment for Serial Correlation 103
Chapter 16: Repeated Measures 116
Chapter 17: Exploratory Tools for Summarizing Multivariate Responses 123
Chapter 18: Comparisons of Proportions or Odds 133
Chapter 19: More Tools for Tables of Counts 135
Chapter 20: Logistic Regression for Binary Response Variables 137
Chapter 21: Logistic Regression for Binomial Counts 143
Chapter 22: Log-Linear Regression for Poisson Counts 150
Chapter 23: Elements of Research Design 155
Chapter 24: Factorial Treatment Arrangements and Blocking Designs 158
iii
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© 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
, Chapter 1: Drawing Statistical Conclusions
1.16 Gross Deomestic Product (GDP) Per Capita.
a
© Cengage Learning. All rights reserved. No distribution allowed without express authorization.
c
1
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© 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
, Not For Sale
1.17 The difference between averages (A í B) in the observed outcome is 78.00 í 62.67 = +15.33
points. In the list that follows, there are three outcomes (nos. 1, 34, and 35) that have a difference
as large or larger in magnitude as the observed difference. The two-sided p-value is therefore
3/35 = 0.0857.
Outcome No. Guide A A Average Guide B B Average (A í B) Difference
1 53, 64, 68, 71 64.00 77, 82, 85 81.33 í17.33
2 53, 64, 68, 77 65.50 71, 82, 85 79.33 í13.83
3 53, 64, 68, 82 66.75 71, 77, 85 77.67 í10.92
4 53, 64, 68, 85 67.50 71, 77, 82 76.67 í9.17
5 53, 64, 71, 77 66.25 68, 82, 85 78.33 í12.08
6 53, 64, 71, 82 67.50 68, 77, 85 76.67 í9.17
7 53, 64, 71, 85 68.25 68, 77, 82 75.67 í7.42
8 53, 64, 77, 82 69.00 68, 71, 85 74.67 í5.67
9 53, 64, 77, 85 69.75 68, 71, 82 73.67 í3.92
10 53, 64, 82, 85 71.00 68, 71, 77 72.00 í1.00
11 53, 68, 71, 77 67.25 64, 82, 85 77.00 í9.75
12 53, 68, 71, 82 68.50 64, 77, 85 75.33 í6.83
13 53, 68, 71, 85 69.25 64, 77, 82 74.33 í5.08
14 53, 68, 77, 82 70.00 64, 71, 85 73.33 í3.33
15 53, 68, 77, 85 70.75 64, 71, 82 72.33 í1.58
16 53, 68, 82, 85 72.00 64, 71, 77 70.67 +1.33
17 53, 71, 77, 82 70.75 64, 68, 85 72.33 í1.58
18 53, 71, 77, 85 71.50 64, 68, 82 71.33 +0.17
19 53, 71, 82, 85 72.75 64, 68, 77 69.67 +3.08
20 53, 77, 82, 85 74.25 64, 68, 71 67.67 +6.58
21 64, 68, 71, 77 70.00 53, 82, 85 73.33 í3.33
22 64, 68, 71, 82 71.25 53, 77, 85 71.67 í0.42
23 64, 68, 71, 85 72.00 53, 77, 82 70.67 +1.33
24 64, 68, 77, 82 72.75 53, 71, 85 69.67 +3.08
25 64, 68, 77, 85 73.50 53, 71, 82 68.67 +4.83
26 64, 68, 82, 85 74.75 53, 71, 77 67.00 +7.75
27 64, 71, 77, 82 73.50 53, 68, 85 68.67 +4.83
28 64, 71, 77, 85 74.25 53, 68, 82 67.67 +6.58
29 64, 71, 82, 85 75.50 53, 68, 77 66.00 +9.50
30 64, 77, 82, 85 77.00 53, 68, 71 64.00 +13.00
31 68, 71, 77, 82 74.50 53, 64, 85 67.33 +7.17
32 68, 71, 77, 85 75.25 53, 64, 82 66.33 +8.92
33 68, 71, 82, 85 76.50 53, 64, 77 64.67 +11.83
34 68, 77, 82, 85 78.00 53, 64, 71 62.67 +15.33
35 71, 77, 82, 85 78.75 53, 64, 68 61.67 +17.08
1.18 Outcomes will vary with different randomizations. See text Display 1.7
1.19 Coin flips will not divide the subjects in such a way that there is an exact age balance. However,
it is impossible to tell prior to the flips which group will have a higher average age.
1.20 The randomization scheme suggested in problem 18 works. So would dealing five red and five
black cards after shuffling. Once again it will not guarantee an exact age balance, but the group
that gets the higher average is not predictable in advance of the randomization.
1.21 There is no computation involved. This is, however, a sobering exercise.
2
© 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
SOLUTIONS MANUAL
, Contents
Chapter 1: Drawing Statistical Conclusions 1
Chapter 2: Inference Using t-Distributions 5
Chapter 3: A Closer Look at Assumptions 9
Chapter 4: Alternatives to the t-Tools 15
Chapter 5: Comparisons Among Several Samples 20
© Cengage Learning. All rights reserved. No distribution allowed without express authorization.
Chapter 6: Linear Combinations and Multiple Comparisons of Means 25
Chapter 7: Simple Linear Regression: A Model for the Mean 33
Chapter 8: A Closer Look at Assumptions for Simple Linear Regression 39
Chapter 9: Multiple Regression 47
Chapter 10: Inferential Tools for Multiple Regression 55
Chapter 11: Model Checking and Refinement 65
Chapter 12: Model Selection with Large Numbers of Explanatory Variables 80
Chapter 13: The Analysis of Variance for Two-way Classification 85
Chapter 14: Multifactor Studies 91
Chapter 15: Adjustment for Serial Correlation 103
Chapter 16: Repeated Measures 116
Chapter 17: Exploratory Tools for Summarizing Multivariate Responses 123
Chapter 18: Comparisons of Proportions or Odds 133
Chapter 19: More Tools for Tables of Counts 135
Chapter 20: Logistic Regression for Binary Response Variables 137
Chapter 21: Logistic Regression for Binomial Counts 143
Chapter 22: Log-Linear Regression for Poisson Counts 150
Chapter 23: Elements of Research Design 155
Chapter 24: Factorial Treatment Arrangements and Blocking Designs 158
iii
Not For Sale
© 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
, Chapter 1: Drawing Statistical Conclusions
1.16 Gross Deomestic Product (GDP) Per Capita.
a
© Cengage Learning. All rights reserved. No distribution allowed without express authorization.
c
1
Not For Sale
© 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
, Not For Sale
1.17 The difference between averages (A í B) in the observed outcome is 78.00 í 62.67 = +15.33
points. In the list that follows, there are three outcomes (nos. 1, 34, and 35) that have a difference
as large or larger in magnitude as the observed difference. The two-sided p-value is therefore
3/35 = 0.0857.
Outcome No. Guide A A Average Guide B B Average (A í B) Difference
1 53, 64, 68, 71 64.00 77, 82, 85 81.33 í17.33
2 53, 64, 68, 77 65.50 71, 82, 85 79.33 í13.83
3 53, 64, 68, 82 66.75 71, 77, 85 77.67 í10.92
4 53, 64, 68, 85 67.50 71, 77, 82 76.67 í9.17
5 53, 64, 71, 77 66.25 68, 82, 85 78.33 í12.08
6 53, 64, 71, 82 67.50 68, 77, 85 76.67 í9.17
7 53, 64, 71, 85 68.25 68, 77, 82 75.67 í7.42
8 53, 64, 77, 82 69.00 68, 71, 85 74.67 í5.67
9 53, 64, 77, 85 69.75 68, 71, 82 73.67 í3.92
10 53, 64, 82, 85 71.00 68, 71, 77 72.00 í1.00
11 53, 68, 71, 77 67.25 64, 82, 85 77.00 í9.75
12 53, 68, 71, 82 68.50 64, 77, 85 75.33 í6.83
13 53, 68, 71, 85 69.25 64, 77, 82 74.33 í5.08
14 53, 68, 77, 82 70.00 64, 71, 85 73.33 í3.33
15 53, 68, 77, 85 70.75 64, 71, 82 72.33 í1.58
16 53, 68, 82, 85 72.00 64, 71, 77 70.67 +1.33
17 53, 71, 77, 82 70.75 64, 68, 85 72.33 í1.58
18 53, 71, 77, 85 71.50 64, 68, 82 71.33 +0.17
19 53, 71, 82, 85 72.75 64, 68, 77 69.67 +3.08
20 53, 77, 82, 85 74.25 64, 68, 71 67.67 +6.58
21 64, 68, 71, 77 70.00 53, 82, 85 73.33 í3.33
22 64, 68, 71, 82 71.25 53, 77, 85 71.67 í0.42
23 64, 68, 71, 85 72.00 53, 77, 82 70.67 +1.33
24 64, 68, 77, 82 72.75 53, 71, 85 69.67 +3.08
25 64, 68, 77, 85 73.50 53, 71, 82 68.67 +4.83
26 64, 68, 82, 85 74.75 53, 71, 77 67.00 +7.75
27 64, 71, 77, 82 73.50 53, 68, 85 68.67 +4.83
28 64, 71, 77, 85 74.25 53, 68, 82 67.67 +6.58
29 64, 71, 82, 85 75.50 53, 68, 77 66.00 +9.50
30 64, 77, 82, 85 77.00 53, 68, 71 64.00 +13.00
31 68, 71, 77, 82 74.50 53, 64, 85 67.33 +7.17
32 68, 71, 77, 85 75.25 53, 64, 82 66.33 +8.92
33 68, 71, 82, 85 76.50 53, 64, 77 64.67 +11.83
34 68, 77, 82, 85 78.00 53, 64, 71 62.67 +15.33
35 71, 77, 82, 85 78.75 53, 64, 68 61.67 +17.08
1.18 Outcomes will vary with different randomizations. See text Display 1.7
1.19 Coin flips will not divide the subjects in such a way that there is an exact age balance. However,
it is impossible to tell prior to the flips which group will have a higher average age.
1.20 The randomization scheme suggested in problem 18 works. So would dealing five red and five
black cards after shuffling. Once again it will not guarantee an exact age balance, but the group
that gets the higher average is not predictable in advance of the randomization.
1.21 There is no computation involved. This is, however, a sobering exercise.
2
© 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
