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1)What is a sampling distribution for the sample mean, x-bar? Explain. Is x-bar a random variable?...

1)What is a sampling distribution for the sample mean, x-bar? Explain. Is x-bar a random variable? Why do you think so?

2) We learned standard error of the mean ( read sigma xbar in denotation) or standard deviation of sample mean. When the size(n) of the sample collected from a infinite population is greater than 1, why is the standard error of the mean  smaller than the standard deviation of X, population ? Explain conceptually or/and algebraically. Think of formula for Standard error of the mean (sigma xbar).  

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orchestra answered 2 years ago
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