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Lecture11

# Lecture11 - STAT 350 LECTURE 11 Chapter 5(5.6 Describing...

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STAT 350 L ECTURE 11 Chapter 5 (5.6) Describing Sample Distributions

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T OPICS Review Central Limit Theorem Sampling Distribution of Sample Proportion Revisiting QQ Plot
T HE C ENTRAL L IMIT T HEOREM The sampling distribution of the mean can be approximated by a normal distribution when the sample size n is sufficiently large, irrespective of the sample of the population distribution. The larger the n, the better the approximation

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T HE C ENTRAL L IMIT T HEOREM The sampling distribution of the sample mean can be approximated by a normal distribution when the sample size n is sufficiently large, irrespective of the sample of the population distribution. In general, n >= 30 is large enough The less symmetric a population is, the larger the sample size will have to be to ensure normality of the mean (exponential distribution requires n=40)
S UMMARY Large Sample Size (n>30) is approximately normal for any population distribution (Exponential, Poisson etc)

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