PREFACE

CHAPTER 1. DESCRIPTIVE STATISTICS

1.1. STATISTICS AND ENGINEERING

1.2. POPULATION AND SAMPLE

1.3. PICTORIAL AND TABULAR METHODS

1.4. MEASURES OF LOCATION

1.5. MEASURES OF VARIABILITY

EXERCISES

CHAPTER 2. PROBABILITY

2.1. SAMPLE SPACE

2.2. RANDOM EVENTS

2.3. COUNTING OUTCOMES

2.4. PROBABILITY OF EVENTS

2.5. CONDITIONAL PROBABILITY

2.6. INDEPENDENCE

2.7. THE TOTAL PROBABILITY THEOREM

2.8. BAYES’ RULE

EXERCISES

CHAPTER 3. RANDOM VARIABLES AND PROBABILTY DISTRIBUTIONS

3.1. NOTIONS - RANDOM VARIABLES

3.2. CUMULATIVE DISTRIBUTION FUNCTION

3.3. EXPECTATION OR MEAN VALUE

3.4. VARIANCE AND STANDARD DEVIATION

EXERCISES

CHAPTER 4. RANDOM VECTORS

4.1. VECTOR OF DISCRETE RANDOM VARIABLES

4.2. VECTOR OF CONTINUOUS RANDOM VARIABLES

4.3. INDEPENDENCE OF RANDOM VARIABLES

4.4. COVARIANCE AND COVARIANCE MATRIX

4.5. CORRELATION COEFFICIENT AND CORRELATION MATRIX

4.6. CONDITIONAL DISTRIBUTION

EXERCISES

CHAPTER 5. SEVERAL DISCRETE DISTRIBUTIONS

5.1. UNIFORM DISTRIBUTION

5.2. HYPERGEOMETRIC DISTRIBUTION

5.3. BINOMIAL DISTRIBUTION

5.4. POISSON DISTRIBUTION

EXERCISES

CHAPTER 6. SEVERAL CONTINUOUS DISTRIBUTIONS

6.1. UNIFORM DISTRIBUTION

6.2. EXPONENTIAL DISTRIBUTION

6.3. GAMMA DISTRIBUTION

6.4. NORMAL DISTRIBUTION

6.5. CHI-SQUARED DISTRIBUTION

6.6. STUDENT DISTRIBUTION (t-distribution)

6.7. F - DISTRIBUTION

EXERCISES

CHAPTER 7. RANDOM SAMPLE

7.1. NOTION OF RANDOM SAMPLE AND STATISTIC

7.2. SAMPLE MEAN

7.3. SAMPLE VARIANCE

7.4. SAMPLE FROM NORMAL DISTRIBUTION

EXERCISES

CHAPTER 8. ESTIMATING - POINT ESTIMATION

8.1. ESTIMATION PROBLEM

8.2. ESTIMATING THE POPULATION MEAN

8.3. ESTIMATING THE POPULATION VARIANCE

8.4. ESTIMATING A PROPORTION OR PROBABILITY

EXERCISES

CHAPTER 9. CONFIDENCE INTERVALS

9.1. INTRODUCTION

9.2. CONFIDENCE INTERVAL FOR THE MEAN OF NORMAL DISTRIBUTION

9.3. CONFIDENCE INTERVAL FOR THE MEAN LARGE SAMPLE

9.4. CONFIDENCE INTERVAL FOR THE PROPORTION p

9.5. CONFIDENCE INTERVAL FOR THE VARIANCE OF NORMAL POPULATION

EXERCISES

CHAPTER 10. TESTING STATISTICAL HYPOTHESES

10.1. INTRODUCTION

10.2. TEST ABOUT NORMAL POPULATION MEAN WHEN THE VARIANCE IS KNOWN

10.3. TEST ABOUT MEAN OF NORMAL DISTRIBUTION WHEN σ² IS UNKNOWN

 10.4. TEST ABOUT MEAN OF ANY DISTRUTION LARGE SAMPLE

10.5. TEST ABOUT PROPORTION p IN A POPULATION

10.6. TEST ABOUT VARIANCE OF NORMAL DISTRIBUTION

10.7. TEST ABOUT THE DIFFERENCE BETWEEN TWO NORMAL POPULATION MEANS

10.8. TEST ABOUT TWO PROPORTIONS IN TWO POPULATIONS

10.9. TEST ABOUT TWO NORMAL VARIANCES

CHAPTER 11. REGRESSION ANALYSIS

11.1. SIMPLE LINEAR REGRESSION MODEL

11.2. REGRESSION WITH TRANSFORMED VARIABLES

11.3. MULTIPLE LINEAR REGRESSION ANALYSIS

EXERCISES

CHAPTER 12. QUALITY CONTROL METHODS PROBABILY TABLES

12.1. THE  X–CHART TO CONTROL THE CENTER OF LOCATION

12.2. THE R-CHART TO CONTROL THE PROCESS VARIATION

12.3. CONTROL CHARTS FOR ATTRIBUTES

EXERCISES

PROBABILITY TABLES

REFERENCES