Question

Which of the following sample sizes for a large number of samples taken from a population will result in the sample means most closely approximating the population mean?

A.89
B.9
C.1
D.19

Answer 1

It means it is asking for a large number so it can represent more of the population because the larger the number the more percent of population so the answer would be A

Answer 2

Option A)89

Explanation:

The central limit theorem says that the mean of the samples taken would be the variable which has normal distribution in spite of the original distribution which it belonged to.

In other words, if X is a random variable, and various samples of x are taken and their means are arrived. These means would be normal provided sample sizes are large and sample are drawn unbiased.

The larger the sample size the more closer the sample mean would be to the normal mean.

Out of the 4 options, 1,9 and 19 are too small to consider to be normal also since for normal distribution minimum sample size is 30.

Hence the only correct answer is Option A) 89