Question

How small could our sample size be and still guarantee normality? In other words, how small can n be and still have np>10 and n(1-p)>10?

Answer 1

The sample size required for normality depends on the original population. np and n(1-p) should be greater than 10.

Step-by-step explanation:

The size of the sample, n, that is required in order to be large enough depends on the original population from which the samples are drawn.

If the original population is far from normal, then more observations are needed for the sample means or sums to be normal.

Sampling is done with replacement. In order to guarantee normality, both np and n(1-p) should be greater than 10.