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Which of the following statements ab out the sampling disribution of the sample

ID: 3368408 • Letter: W

Question

Which of the following statements ab out the sampling disribution of the sample mean, x bar, is not truh regardless of the shape of the population distribution lthe sample size, s lange enough. o The sampling dlsributionis no The sampling distribution is pling egardless of the sample size, as long as the population distribution is normal stmaeng Ane same as the population mean. The sampling distribution's sta ndard deviation is smaller than the population standard deviation. All of the above statements are true.

Explanation / Answer

Here actually all the statements are true.

If the sample size n is large enough, (n >= 30), the sampling distribution will always be normal.

But if the parent distribution is also normal, then sampling the sampling distribution will always be normal regardless of sample size.

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