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Which of the following is true about the sampling distribution of means? Shape of the sampling...

Which of the following is true about the sampling distribution of means? Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is. Sampling distribution of the mean is always right skewed since means cannot be smaller than 0. Sampling distributions of means are always nearly normal. Sampling distributions of means get closer to normality as the sample size increases.

math   Statistics-And-Probability   
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Answer #1

Correct option is:

Sampling distribution of means get closer to normality as sample size increases.

Explanation:These because of Central Limit Theorem(CLT).According to CLT, sampling distribution get closer to normal distribution as sample size increases.No matter weather population distribution is normal or not not normal.

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