According to the Central Limit Theorem, regardless of the population distribution, the sample mean $$\(\bar{X}\)$$ is approximately nor- mally distributed with $$\(\mu_{\bar{x}}=\mu_{x}\)$$ and $$\(\sigma_{\bar{x}}=\frac{\sigma_{X}}{\sqrt{n}}\)$$,
A.
provided that a large number of random samples of the same size are selected from the population
B.
provided that a large random sample of size \(n\) is taken from the population
C.
provided that the population median is equal to the population mean
D.
provided that the sample size does not exceed 30
E.
It is always true. No other condition is required.
Exam No：AP Statistics Problem Set 11 Year：2024 Question No：10
Answer:
B
Knowledge points:
5.3 The Central Limit Theorem
5.4 Biased and Unbiased Point Estimates
5.7 Sampling Distributions for Sample Means
Solution:
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