In the context of designing control charts, which of the following is true of a sample size
A) A large sample allows small changes in process characteristics to be detected with higher probability than a small sample size.
B) A small sample is used to detect process shifts of two standard deviations or smaller.
C) A large sample size is desirable to keep the cost associated with sampling low.
D) A small sample size provides greater degrees of statistical accuracy in estimating the true state of control than a large sample size.

Question

Quizplus · Accepted Answer

A large sample size allows for a higher probability of detecting small changes in process characteristics. This is because a larger sample size provides more information and reduces the influence of random variation. B is incorrect because a large sample size may still be needed to detect small shifts. C is incorrect because a large sample size can increase sampling costs. D is incorrect because a larger sample size generally provides more statistical accuracy in estimating the true state of control.

In the Context of Designing Control Charts, Which of the Following