Question

Consider a population consisting of 1,2,3,4 and 5. From the population, the mean of the sampling distribution of the sample means if n=2, n=3. and n=4

Answer 1

The mean of the sample means is

When n=2,

The samples are

The mean of sample mean $=\dfrac{\sum \bar{x}}{9}=\dfrac{28}{9}=3.11$

When n=3,

The samples are

The mean of sample mean $=\dfrac{\sum \bar{x}}{9}=\dfrac{26.1}{9}=2.9$

When n=4,

The samples are

The mean of sample mean $=\dfrac{\sum \bar{x}}{5}=\dfrac{17}{5}=3.4$