Solved: What does the CLT say? Asked what the central limit theorem says, a student

Chapter 7, Problem 58

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QUESTION:

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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QUESTION:

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.

ANSWER:

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The standard deviation of the sampling distribution of the sample mean  is the population standard deviation divided by the square root of the sample size.

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