Question

Suppose the height of military recruits is distributed normally with a mean of 1750 mm and a standard
deviation of 50 mm. Drawing repeated samples of 25 recruits each, we expect the standard deviation of
the sample means to be about ?

Answer 1

The standard deviation of the sample means is 10

Given;-

mean=1750

standard deviation,sd=50

n=25

Standard deviation of sample mean =sd/$\sqrt{n}$=50/5=10