Sample Means Section 9.3.

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Presentation transcript:

Sample Means Section 9.3

Note: Averages are less variable than individual observations Averages are more normal than individual observations

Mean and Standard Deviation x bar =  x bar = /n Only use the standard deviation if the population is at least 10 times as large as the sample

Central Limit Theorem Draw an SRS of size n from any population whatsoever with mean  and finite standard deviation . When n is large, the sampling distribution of the sample mean x bar is close to the normal distribution N(, /n) with mean  and standard deviation /n. How large n has to be depends on how “far” from normal a population is

Practice Problems Section 9.3 Chapter 9 Review pg. 525 #9.39-9.42

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