STAT 8010 Lecture Notes - Lecture 5: Statistical Process Control, Central Limit Theorem, Sampling Distribution
Document Summary
The sampling distribution of a statistic is the probability distribution for the values of the statistic that results when random samples of size n are repeatedly drawn from the population. The standard error is the standard deviation of the sampling distribution of a statistic. The approximation becomes more and more accurate as n becomes large. Using the central limit theorem, the approximate sampling distribution of the mean will be. Example: suppose a sample of 49 observations is taken from a continuous distribution that has a mean of 10 and a variance of 196. Find the approximate sampling distribution of the sample mean. Find the probability that the sample mean will be between 8 and 12. Statistical process control (spc) involves the use of statistical methods to detect changes in processes. The y control chart can be used to detect shifts in the mean of a process.
