MAT 121 Lecture Notes - Lecture 14: Central Limit Theorem, Sampling Distribution, Sample Size Determination
6 Nov 2014
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Mat 121: elementary statistis and probability- lecture 14: central limit theory. What is the mean? mean = (1+2+3+4+5) / 5 = (15) / 5= 3. Find the mean x-bar of all the sample means computed in (2) and compare it with . Properties: mean of all sample means coincides with the population mean, distribution of the sample means tends to be a normal distribution. Suppose x" has normal distribution with = 10 and = 4. Find the distribution of all sample means of sample size 9. *note: x" has normal distribution so the clt applies* *note: if x" has normal distribution, then x-bar is normal as well* _____(blank)______: find the probability that the mean of a sample of size "n" is between two numbers, be careful when working with the sample mean (x-bar), its corresponding z-score is: Assume that the nal grades of the fall 2012 mat 121 are normally distributed.
