Asked what the central limit theorem says, a student replies,
"As you take larger and larger samples from a population, the
histogram of the sample values looks more and more Normal."
No. The central limit theorem says nothing about the histogram
of the sample values. It deals only with the distribution of the
sample's mean.
Yes. This is exactly what the theorem says.
No. As you take larger and larger samples the histogram of the
sample values looks less Normal.