Random sample of n=65 measurements is obtained from a population with µ=20 and σ²=400. Describe the sampling distribution for the sample means by computing µ˜x and σ2˜x. Consider a sampling without replacement.
The Central Limit Theorem
Let be a random sample from a distribution with mean and variance Then if is sufficiently large, has approximately a normal distribution with and The larger the value of the better the approximation.
If the Central Limit Theorem can be used.
We have Then the Central Limit Theorem can be used
The sample mean
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