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**preview**shows pages 1-3. to view the full**257 pages of the document.**Contents

1 Introduction to Statistics and Data Analysis 1

2 Probability 11

3 Random Variables and Probability Distributions 27

4 Mathematical Expectation 41

5 Some Discrete Probability Distributions 55

6 Some Continuous Probability Distributions 67

7 Functions of Random Variables 79

8 Fundamental Sampling Distributions and Data Descriptions 85

9 One- and Two-Sample Estimation Problems 97

10 One- and Two-Sample Tests of Hypotheses 113

11 Simple Linear Regression and Correlation 139

12 Multiple Linear Regression and Certain Nonlinear Regression Models 161

13 One-Factor Experiments: General 175

14 Factorial Experiments (Two or More Factors) 197

15 2kFactorial Experiments and Fractions 219

16 Nonparametric Statistics 233

17 Statistical Quality Control 247

18 Bayesian Statistics 251

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Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Chapter 1

Introduction to Statistics and Data

Analysis

1.1 (a) 15.

(b) ¯x=1

15 (3.4+2.5+4.8+···+4.8) = 3.787.

(c) Sample median is the 8th value, after the data is sorted from smallest to largest: 3.6.

(d) A dot plot is shown below.

2.5 3.0 3.5 4.0 4.5 5.0 5.5

(e) After trimming total 40% of the data (20% highest and 20% lowest), the data becomes:

2.9 3.0 3.3 3.4 3.6

3.7 4.0 4.4 4.8

So. the trimmed mean is

¯xtr20 =1

9(2.9+3.0+···+4.8) = 3.678.

(f) They are about the same.

1.2 (a) Mean=20.7675 and Median=20.610.

(b) ¯xtr10 =20.743.

(c) A dot plot is shown below.

18 19 20 21 22 23

(d) No. They are all close to each other.

Copyright c

2012 Pearson Education, Inc. Publishing as Prentice Hall.

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