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Which of the following statements about the sampling distribution of the sample mean, ¯xx¯ , is...

Which of the following statements about the sampling distribution of the sample mean, ¯xx¯ , is the correct?

1The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.

2The distribution is normal regardless of the sample size, as long as the population distribution is normal.

3The distribution's mean is the same as the population mean.

4The distribution's standard deviation is smaller than the population standard deviation.

5All of the above statements are correct.

Math   Statistics-And-Probability   
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