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. a. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. b. No. As you take larger and larger samples, the histogram of the sample values looks less Normal. c. Yes. This is exactly what the theorem says. Yes, as long as the population distribution is Normal.

Question

Mathematics

Randy Raymond

31 May, 14:29

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. a. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. b. No. As you take larger and larger samples, the histogram of the sample values looks less Normal. c. Yes. This is exactly what the theorem says. Yes, as long as the population distribution is Normal.

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Answers (1)

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Carina Wallace · Answer 1

a. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means

Step-by-step explanation:

If the sample size is large, means follow a normal distribution even if the data is not normal