(True/False) The central limit theorem implies that: a  All variables have bell-shaped sample data distributions if a random sample contains at least 30 observations. b  Population distributions are normal whenever the population size is large. c  For large random samples, the sampling distribution of y ̄ is approximately normal, regardless of the shape of the population distribution. d  The sampling distribution looks more like the population distribution as the sample size increases.

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(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 y ̄ is approximately normal, regardless of the shape of the population distribution.

  4. d  The sampling distribution looks more like the population distribution as the sample size increases.

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