The basis for using a normal probability distribution to approximate the sampling distribution of is
A) Chebyshev's theorem.
B) The empirical rule.
C) The central limit theorem.
D) Bayes' theorem.

Question

The basis for using a normal probability distribution to approximate the sampling distribution of  is​
A) ​Chebyshev's theorem. 
B) ​The empirical rule. 
C) ​The central limit theorem. 
D) ​Bayes' theorem.

Quizplus · Accepted Answer

The central limit theorem states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution, regardless of the underlying distribution of the population. Therefore, in cases where the sample size is large enough, using a normal distribution to approximate the sampling distribution of a statistic (such as 11eb12c9_c6a6_5d3b_b394_3d16a195ed4e_TB6985_11) is justified.

The Basis for Using a Normal Probability Distribution to Approximate