IE 4453 Chapter : QC Chapter 7
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4 types of control charts to be covered: Consider a sample of size n nonconforming. Each observation is checked against the spec, and then declare conforming or. Each trial has only 2 outcomes (heads or tails type situation) X > usl or x < lsl. For a sample size of n (meaning n bernoulli trials) Supposed we are interested in the success which is defined in this instance. Define x: number of nonconforming units p = n x x=np. Checking each unit is a bernoulli process. Consider a sample size of n with nonconforming (1) being a success x1 x2. D takes value: 0 d n. The distribution of np (or d) is binomial (can be referenced on page 81) The general distribution of d values is binomial (since it has to be either true or false) Find average of p of the m samples. Np = n p(1 p) np = n2 n.
