Question

The central limit theorem says that when a simple random sample of size n is drawn...

The central limit theorem says that when a simple random sample of size n is drawn from any population with mean μ and standard deviation σ, then when n is sufficiently large

  • the distribution of the sample mean is approximately Normal.
  • the standard deviation of the sample mean is σ2nσ2n.
  • the distribution of the sample mean is exactly Normal.
  • the distribution of the population is approximately Normal.
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Answer #1

Sol:

n>30(large sample

when n is suffciently large,sample follows approximately normal distribution ,irrespective of the parent population whether it follows normal distribution

with sample mean=xbar=mu

sample standard deviation=sigma/sqrt(n)

ANSWER"

the distribution of the sample mean is approximately Normal.

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