The basis for using a normal probability distribution to approximate the sampling distribution of $\bar { x }$ and $\bar { p }$ is _____.
A) Chebyshev's theorem
B) the empirical rule
C) the central limit theorem
D) Bayes' theorem

Question

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of the sample mean (or proportion) will approach a normal distribution as the sample size becomes large, regardless of the shape of the population distribution. This is why it is the basis for using a normal probability distribution to approximate the sampling distribution of $\bar{x}$ and $\bar{p}$.

The Basis for Using a Normal Probability Distribution to Approximate xˉ\bar { x }xˉ

The Basis for Using a Normal Probability Distribution to Approximate $\bar { x }$