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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.

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