Question

​A group of students got the following scores in an achievement test: 9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this population.

B.Construct a sampling distribution of the resulting sample means

SAMPLE MEANS FREQUENCY

PROBABILITY

Answer 1

The number of possible samples of size n=3 from a population of size N=6 is,

$=C_6^3= \binom{6}{3}=20$

The sample means are derived from the formula, $\bar x_i={\sum x_i\over3}$

The samples and their means are shown in the table below

The sampling distribution is as follows: