Fundamentals of Quality Control and Improvement, 4th Edition

4Fundamentals of Statistical Concepts and Techniques in Quality Control and Improvement

1. 4-1 Introduction and chapter objectives
2. 4-2 Population and sample
3. 4-3 Parameter and statistic
4. 4-4 Probability
5. 4-5 Descriptive statistics: describing product or process characteristics
6. 4-6 Probability distributions
7. 4-7 Inferential statistics: drawing conclusions on product and process quality
8. Summary
9. Appendix: Approximations to some probability distributions

Symbols
P(A)μsnXiNT(α)σs2σ2Rγ1γ2rMsmp(x)	Probability of event APopulation mean of a quality characteristicSample averageSample standard deviationSample sizeith observation in a samplePopulation sizeα % trimmed meanPopulation standard deviationSample variancePopulation varianceRangeSkewness coefficientKurtosis coefficientSample correlation coefficientSample medianStandard deviation of the sample medianProbability distribution (or mass function) for a discrete random variable	f(x)F(x)E(X)ZpλλγαβΓ(u)1 − α	Probability density function for a continuous random variableCumulative distribution functionExpected value or mean of a random variable XStandard normal random variableProbability of success on a trial in a binomial experimentMean of a Poisson random variableFailure rate for an exponential distributionLocation parameter for a Weibull distributionScale parameter for a Weibull distributionShape parameter for a Weibull distribution ...