 # (True/False) The central limit theorem implies that: 1.a All variables have illusiia 2021-10-23 Answered
(True/False) The central limit theorem implies that:
1.a All variables have bell-shaped sample data distributions if a random sample contains at least 30 observations.
2.b. Population distributions are normal whenever the population size is large.
3.c. For large random samples, the sampling distribution of $$\displaystyle\overline{{{y}}}$$ is approximately normal, regardless of the shape of the population distribution.
3.d. The sampling distribution looks more like the population distribution as the sample size increases.

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Hence options c and d is correct
The central limit theorem implies that for large random samples, the sampling distribution is approximately normal, regardless of the shape of the population distribution.
And the sampling distribution is looks like a population distribution as the sample size increases.