A random sample of n=70 measurements is obtained from a population with a mean 200 and standard deviation of 50.describe the sampling for the sample means by computing
The Central Limit Theorem
For samples of size 30 or more, the sample mean is approximately normally distributed, with mean and standard deviation where is the sample size.
The larger the sample size, the better the approximation.
Given
The distribution of the sample mean is normal with mean and standard deviation
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