Question 2 of 5 Points: 10 Which of the following statements about the sampling

Question

Question 2 of 5 Points: 10 Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. The sampling distribution's mean is the same as the population mean. The sampling distribution's standard deviation is smaller than the population standard deviation. All of the above statements are true.

Explanation / Answer

Solution: The given question is based on one of the important results in statistics called "the central limit theorem", which states that the sampling distribution of the sampling statistic approaches a normal distribution as the sample size gets larger, no matter what the shape of the population distribution. Therefore the correct Answer to the given question is option "e" that is All of the above statements are true.

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