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이공학도를 위한 확률 및 통계학 8판 Report


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이공학도를 위한 확률 및 통계학 8판

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INSTRUCTOR’S SOLUTION MANUAL
KEYING YE AND SHARON MYERS

for PROBABILITY & STATISTICS
FOR ENGINEERS & SCIENTISTS

EIGHTH EDITION

WALPOLE, MYERS, MYERS, YE

Contents
1 Introduction to Statistics and Data Analysis 2 Probability 3 Random Variables and Probability Distributions 4 Mathematical Expectation 5 Some Discrete Probability Distributions 6 Some Continuous Probability Distributions 7 Functions of Random Variables 8 Fundamental Sampling Distributions and Data Descriptions 9 One- and Two-Sample Estimation Problems 10 One- and Two-Sample Tests of Hypotheses 11 Simple Linear Regression and Correlation 12 Multiple Linear Regression and Certain Nonlinear Regression Models 13 One-Factor Experiments: General 14 Factorial Experiments (Two or More Factors) 15 2k Factorial Experiments and Fractions 16 Nonparametric Statistics iii 1 11 29 45 59 71 85 91 103 121 149 171 185 213 237 257

iv 17 Statistical Quality Control 18 Bayesian Statistics

CONTENTS 273 277

Chapter 1 Introduction to Statistics and Data Analysis
1.1 (a) 15. (b) x = ?
1 (3.4 15

(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 + 4.8 + · · · + 4.8) = 3.787.

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 3.7 So. the trimmed mean is 1 xtr20 = (2.9 + 3.0 + · · · + 4.8) = 3.678. ? 9 1.2 (a) Mean=20.768 and Median=20.610. (b) xtr10 = 20.743. ? (c) A dot plot is shown below. 3.0 3.3 3.4 3.6 4.0 4.4 4.8

18

19

20

21

22

23

1

2

Chapter 1 Introduction to Statistics and Data Analysis

1.3 (a) A dot plot is shown below.
200 205 210 215 220 225 230

In the ?gure, “×” represents the “No aging” group and “?” represents the “Aging” group. (b) Yes; tensile strength is greatly reduced due to the aging process. (c) MeanAging = 209.90, and MeanNo aging = 222.10. (d) MedianAging = 210.00, and MedianNo aging = 221.50. The means and medians for each group are similar to each other. ? ? 1.4 (a) XA = 7.950 and XA = 8.250; ? ? XB = 10.260 and XB = 10.150. (b) A dot plot is shown below.
6.5 7.5 8.5 9.5 10.5 11.5

In the ?gure, “×” represents company A and “?” represents company B. The steel rods made by company B show more ?exibility. 1.5 (a) A dot plot is shown below.

?10

0

10

20

30

40

In the ?gure, “×” represents the control group and “?” represents the treatment group. ? ? ? (b) XControl = 5.60, XControl = 5.00, and Xtr(10);Control = 5.13; ? ? ? XTreatment = 7.60, XTreatment = 4.50, and Xtr(10);Treatment = 5.63. (c) The di?erence of the means is 2.0 and the di?erences of the medians and the trimmed means are 0.5, which are much smaller. The possible cause of this might be due to the extreme values (outliers) in the samples, especially the value of 37. 1.6 (a) A dot plot is shown below.
1.95 2.05 2.15 2.25 2.35 2.45 2.55

In the ?gure, “×” represents the 20


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