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# Walpole 9e ISM 01 04 11 FINALExam

Department
Industrial Engineering
Course Code
IE 3302
Professor
All

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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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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.