Question: True or false? the central limit theorem doesn't apply if population distribution is highly skewed The sampling distribution has less variability than the population does

True or false?

  1. the central limit theorem doesn't apply if population distribution is highly skewed
  2. The sampling distribution has less variability than the population does
  3. Law of numbers is related to the location of the sample mean as the sample size grows large but the central limit theorem describes the shape of the sampling distribution of the sample mean
  4. We take a sample of 100 balls and plot the distribution of ball prices. Then, this distribution is called "the sampling distribution for sample mean".
  5. 2 and 3

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