Answer to Question #273060 in Statistics and Probability for Nice

Question

A population consist of the numbers 3,5,10,11 and 6. Let us list all possible samples of size 3 fr this population and compute the mean of each sample

Answer 1

We have given the population $3,5,10,11\ and \ 6$ and $5.$

Sampling distribution of size 3 can be given as

Sampling distribution of sample mean,

$P(\bar X=4.66) = \dfrac{1}{5} ,$ $P(\bar X=3.66) = \dfrac{1}{10},$

$P(\bar X=6.66) = \dfrac{1}{10},$ $P(\bar X = 7.66) = \dfrac{1}{10},$

$P(\bar X=5.66)= \dfrac{1}{10}$

$P(\bar X=5) = \dfrac{1}{5}$

$P(\bar X=7.33) = \dfrac{1}{10}$

$P(\bar X=6.33) = \dfrac{1}{10}$