EBook Problems Limits CLT

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EBook Problems Set - The Central Limit Theorem

Problem 1

Which of the following would make the sampling distribution of the sample mean narrower? Check all answers that apply.

  • Choose at least one answer.
(a) A smaller population standard deviation
(b) A smaller sample size
(c) A larger standard error
(d) A larger sample size
(e) A larger population standard deviation


Problem 2

If sampling distributions of sample means are examined for samples of size 1, 5, 10, 16 and 50, you will notice that as sample size increases, the shape of the sampling distribution appears more like that of the:

  • Choose one answer.
(a) normal distribution
(b) binomial distribution
(c) population distribution
(d) uniform distribution





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