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. What is the correct answer below ? Yes, as long as the population distribution is Normal. No. As you take larger and larger samples, the histogram of the sample values looks less Normal. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. Yes. This is exactly what the theorem says.
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. What is the correct answer below ? Yes, as long as the population distribution is Normal. No. As you take larger and larger samples, the histogram of the sample values looks less Normal. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. Yes. This is exactly what the theorem says.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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. What is the correct answer below ?
Yes, as long as the population distribution is Normal.
No. As you take larger and larger samples, the histogram of the sample values looks less Normal.
No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.
Yes. This is exactly what the theorem says.
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