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S8.1 - Distribution of the Sample Mean
Distribution of the Sample Mean
7
Mathematics
Graduate
11/07/2013

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Term
Sampling distribution
Definition
A probability distribution for all possible values of the statistic computed from a sample of size n
Term
Sampling distribution of the sample mean
Definition
xbar is the probability distribution of all possible values of the random variable xbar computed from a sample size n from a population with mean mew and sd sigma
Term
Mean of sampling distribution xbar
Definition
mew xbar = mew
Term
Standard deviation of sampling distribution xbar
Definition
sigmaxbar = sigma/(n)^0.5
Term
The standard deviation of the sample distribution xbar is called
Definition
Standard error of the mean
Term
If a random variable X is normally distributed, the distribution of the sample mean xbar is
Definition
Normally distributed
Term
Central limit theorem
Definition
The sampling distribution of xbar becomes approximately normal as the sample size n increases
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