STAT 3450 Lecture Notes - Lecture 12: Central Limit Theorem, Simple Random Sample, Standard Deviation
6 Mar 2017
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We have seen thus far that sums and averages of normal random variables are normally distributed. Example: let x = time required (in seconds) to complete a task be a random variable with probability density function xf. Repeat of simple random samples of size 50 and take a note of the averages. Take 1000 samples of size 50 and make a histogram of the averages: Let x1, , xn be a simple random sample from a population with mean and variance 2. Let s, and x denote the random variables of the sample sum (total) and the sample mean. Then if the sample size n is sufficiently large then. In practice, for most population, if the sample size is greater than 30, the central. Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact, the fill volume is random, with mean 12. 01 oz and standard deviation 0. 2 oz.
