What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal." Is the student right? Explain your answer.
Added by Gema S.
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The Central Limit Theorem (CLT) states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. Show more…
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What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the spread of the sampling distribution of the sample mean decreases." Is the student right? Explain your answer.
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Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal." No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample's mean. Yes. This is exactly what the theorem says. No. As you take larger and larger samples the histogram of the sample values looks less Normal.
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