When we sample from an infinite population what happens to t

When we sample from an infinite population, what happens to the standard error of the mean if the sample size is

a) increased from 5 to 20

b) decreased from 20 to 5

c) increased from 12 to 48

d) decreased from 48 to 12

Solution

Std error of sample = Std deviation/square root of n.

a) When sample size increased from 5 to 10, as denominator increases,

std error decreases

b) Std error increases when sample size decreases from 20 to 5

c) Decreases when n changes from 12 to 48

d) increases when sample size decreases from 48 to 12