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[DOC File]CHAPTER 8—SAMPLING DISTRIBUTIONS
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Because the CLT tells us the shape of the sampling distribution will be about normal, we can use the normal distribution as a tool for working statistical inference problems for the sample mean. Title : Characteristics of the Sampling Distribution of the Sample Mean under Simple Random Sampling: Author: Brian Stipak Last modified by: Brian Stipak Created Date: 11/5/2008 2:28:00 AM Company ...
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[DOC File]A Practical Introduction to Sampling Distributions
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The sampling distribution of has mean and standard deviation . Notation: Central Limit Theorem. We have determined the center and the spread of the sampling distribution of . What is the shape of its sampling distribution? Case I: If the distribution of the original data is normal, the sampling distribution of is normal. (This is true no matter ...
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Shapes of Sampling Distributions
Sampling Distribution of : As or the population is normally distributed, then , where . Thus, for some constants , where Z is the standard normal random variable. Example: What is the probability of the difference between the sample mean and the population mean will be less or equal to 500 as the sample size [solution]. Thus, There is 50.36% chance that the difference between the sample mean ...
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[DOC File]Sampling Distributions
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What is the shape of the sampling distribution? Symmetric? Increase the sample size to N=25 . Click on 1,0000 samples. Does the distribution look more symmetric? Almost normal? The ‘large enough sample’ in the Central Limit Theorem depends of the shape of the population or distribution of the variable. The more skewed the distribution of x is , the larger the sample size that is needed for ...
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Shape of sampling distribution