A manufacturer of semiconductor devices takes a random sample of size n of chips and tests them, classifying each chip as defective or nondefective. Let Xi = 0 if the chip is nondefective and Xi = 1 if the chip is defective. The sample fraction defective is
What are the sampling distribution, the sample mean, and sample variance estimates of when
(a) The sample size is n = 60?
(b) The sample size is n = 70?
(c) The sample size is n = 100?
(d) Compare your answers to parts (a)–(c) and comment on the effect of sample size on the variance of the sampling distribution.