STA 2023 Honors          Introduction to Statistics I                         Fall  2008 

Suggested Homework Problems

 

·       The following is a list of suggested homework problems from the textbook: Statistics, the Art and Science of Learning from Data, by Agresti/Franklin, 2nd edition Pearson, 2009. The problems appear at the end of each section. 

 

·       These problems will not be collected, but should be a good tool for learning the material, and good practice for exams.

 

·       The answers to odd-numbered problems appear in the back of the book. The answers to ALL problems appear in the Instructor's Solutions Manual that is on reserve at Marsden Science Library.   They also have a copy of it at the Tutoring Room for the big STA 2023 class –Griffin Floyd 104, open about 40 hours per week.

 

·       You can also use Minitab to solve some of the homework problems assigned from the book.  The data sets for most homework problems are included in the data disk that comes with the textbook.

 

 

Sections

Suggested Exercises

Chapter 1

1.1 How Can You Investigate Using Data?

1.1   1.2

1.2 We Learn about Populations Using Samples

1.8  1.9  1.10  1.11  1.12  1.15  1.16

End of Chapter Exercises

1.24  1.25  1.30  1.31

Chapter   2

 

2.1 What are the Types of Data?

 2.1 2.2  2.3  2.4  2.5 2.6  2.7

2.2 How Can We Describe Data Using Graphical Summaries?

2.10a-c  2.14  2.15  2.16  2.19  2.21  2.23  2.24  2.25 

2.3 How Can We Describe the Center of Quantitative Data?

2.30  2.32  2.33  2.35  2.36  2.37  2.39  2.40  2.41  2.42

2.4 How Can We Describe the Spread of Quantitative Data?

2.47  2.48  2.50  2.51  2.52  2.53  2.55  2.56

2.5 How Can Measures of Position Describe Spread?

2.63  2.64  2.65  2.67  2.69  2.73  2.74  2.75  2.76  2.83

End of Chapter Exercises

2.118  2.124

Chapter 3

3.1 How Can We Explore the Association between Two Categorical Variables?

3.1  3.2  3.3  3.5  3.9

3.2 How Can We Explore the Association between Two Quantitative Variables?

3.11  3.12  3.13  3.14  3.15  3.16  3.21

3.3 How Can We Predict the Outcome of a Variable?

3.25  3.26  3.27  3.29  3.31  3.33  3.34  3.37  

3.4 What Are Some Cautions in Analyzing Associations?

3.44  3.45  3.47  3.53  3.54  3.55  3.58

End of Chapter Exercises

3.102  3.103  3.104  3.105  3.106  3.107 

Chapter 4

4.1 Should We Experiment or Should We Merely Observe?

4.2  4.3  4.4  4.7  4.8  4.9

4.2 What Are Good Ways and Poor Ways to Sample?

4.20  4.21  4.22  4.23  4.24  4.25  4.26  4.31 

4.3 What are Good Ways and Poor Ways to Experiment?

4.33  4.34  4.37  4.41  4.43

4.4 What are Other Ways to Perform Experimental and Observational Studies?

4.48  4.53 

End of Chapter Exercises

4.58  4.95  4.98  4.102

Chapter 5

5.1 How Can Probability Quantify Randomness?

5.1  5.2  5.4    5.7 

5.2 How Can We Find Probabilities?

 5.13  5.17  5.18  5.19  5.21  5.23  5.26

5.3 Conditional Probability: What’s the Probability of A, Given B?

5.28  5.29  5.30  5.31  5.32  5.39 

5.4 Applying the Probability Rules

5.55  5.57  5.58   

 

 

 

Chapter 6

6.1 How Can We Summarize possible Outcomes and Their Probabilities?

6.3  6.4  6.5  6.7  6.12   

6.2 How Can We Find Probabilities for Bell Shaped Distributions

6.14  6.15  6.16  6.17  6.19  6.23  6.24  6.26  6.27  6.29

6.3 How Can We Find Probabilities When Each Observation Has Two Possible Outcomes?

6.35  6.39  6.41  6.43

Chapter      7

7.1 How Likely are the Possible Values of a Statistic? The Sampling Distribution

7.4  7.5  7.10  7.11  7.12

7.2 How Close Are Sample Means to Population Means

7.14  7.16  7.17  7.18  7.20  7.21

7.3 How Can We Make Inferences About a Population?

7.31

End of Chapter Exercises           

7.45  7.57  7.58

Chapter 8

8.1 What are Point and Interval Estimates of Population Parameters?

8.2  8.4  8.5  8.6  8.7 

8.2 How Can We Construct a Confidence Interval to Estimate a Population Proportion?

8.11  8.12  8.13  8.14  8.15  8.17  8.18  8.21  8.22  8.23

8.3 How Can We Construct a Confidence Interval to Estimate a Population Mean?

8.27  8.28  8.29  8.30  8.31  8.32  8.36  8.38  8.39

8.4 How Do We Choose the Sample Size for Study?

8.46  8.47  8.48  8.49  8.51  8.52  8.53  8.54  8.56

End of Chapter Exercises

8.78 8.115  8.116  8.117

Chapter 9

9.1 What are the Steps for Performing a Significance Test?

 9.1  9.2  9.3  9.4  9.8 

9.2 Significance tests About Proportions

9.9  9.11  9.12  9.15  9.17  9.19  9.20  9.21  9.23

9.3 Significance Tests About Means

9.28  9.29  9.33  9.34  9.36  9.37  9.39  9.41

 

Answers to 9.28

a) p-value between 0.02 and 0.05

b) p-value is between 0.025 and 0.01

c) p-value is between 0.975 and 0.99

Typo in 9.29 

     Ha: μ ≠ 0 should be Ha: μ ≠ 100

Answer to 9.29 p-value is between 0.025 and 0.05

Answer to 9.33 p-value > 0.20

Answer to 9.36 p-value between 0.01 and 0.05

Answer to 9.39 p-value less than 0.002

9.4 Decisions and Types of Errors in Significance Tests

9.42  9.43  9.44  9.45  9.46  9.49  9.51

9.5 Limitations of Significance Tests

9.52  9.53  9.55

End of Chapter Exercises

9.112  9.113

Chapter 10

10.1 Categorical Response: How Can We Compare Two Proportions?

10.1  10.2  10.3  10.4  10.6  10.7  10.9 

10.2 Quantitative Responses: How Can We Compare Two Means?

10.14  10.16  10.17  10.18  10.20  10.21  10.23  10.25 

 

Answer to 10.21 p-value>0.2

Typo in 10.23 Standard error is 0.239 not 2.8

10.3 Other Ways of Comparing Means and Comparing Proportions

10.40  10.42  10.43

10.4 How Can We Analyze Dependent Samples?

10.47  10.48  10.49  10.50  10.51  10.57  10.58  10.60abd 10.61

 

Answer to 10.51a p-value is between 0.1 and 0.2

End of Chapter Exercises

10.63  10.64 abcd