Question

Given an infinite population that does not meet the conditions of a normal distribution, samples taken at random will also not be normally distributed regardless of sample size.

True
False

Answer 1

100% false

Reading the answer at this very moment

Answer 2

False

Explanation:

The central limit theorem says that if a sufficient large sample is taken from a population with finite variance, the mean of all the samples will be the population mean.

IN other words, irrespective of the original distribution from where samples were drawn, the mean of all samples for large sample sizes will follow a normal distribution.

Hence the given statement is false.

For sample sizes large, we can expect samples will have mean that follows a normal distribution.