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 will approach a normal distribution regardless of the shape of the population distribution. Therefore, using a normal distribution to approximate the sampling distribution of 11ea86e1_d6f3_15bc_a30f_b56a69374737_TB2162_11 is justified. Chebyshev's theorem and the empirical rule are not applicable in this case, and Bayes' theorem is not appropriate for approximating a sampling distribution.

The Basis for Using a Normal Probability Distribution to Approximate