Will the sampling distribution of x always be approximately normally distributed? Explain. Choose the correct answer below.

Category: Mathematics

Will the sampling distribution of x always be approximately normally distributed? Explain.

Choose the correct answer below.

A.      No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

B.      Yes because the Central Limit Theorem states that the sampling distribution of x is always approximately normally distributed.

C.      No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the population being sampled is normally distributed.

 

D.      No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is more than 5% of the population.

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