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Determining Normality

APSTAT-Y14ELN

How could one determine if the distribution of sample means is approximately normal?

I. Both np and n ($1$-p) are greater than $10$, where n is the number of trials and p is the proportion of success.
II. The sample is large, say greater than $30$.
III. The parent population is approximately normal.

A

I only.

B

II only.

C

III only.

D

I and II only.

E

II and III only.