The Central Limit Theorem implies the following important ideas in statistics: (FILL IN THE BBLANKS) 1.) When the sample size tends to infinity (a very large sample) the distribution of the sample mean X will be _______________________ distributed. 2.) If the sample size tends to infinity, the sample mean ?? ̅ ________________ the population mean ?. 3.) When the original variable is normally distributed, the distribution of the sample means will be ______________________ distributed, for any sample size n.
The Central Limit Theorem implies the following important ideas in statistics: (FILL IN THE BBLANKS)
1.) When the
2.) If the sample size tends to infinity, the sample mean ?? ̅ ________________ the population mean ?.
3.) When the original variable is
4.) When the distribution of the original variable might not be normal, a sample size of _______________ or more is needed to use a normal distribution to approximate the distribution of the sample means. The larger the sample, the better the approximation will be.
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