Q-20.
Assume the population standard deviation is s = 25. Compute the standard error of the
mean, sx, for sample sizes of 50, 100, 150, and 200. What can you say about the size of
the standard error of the mean as the sample size is increased?
Soln:
step: 1 of 1
Population standard deviation
Standard deviation of is given by:
Standard error of the sample mean , for sample sizes of 50, 100, 150 and 200 is
given in the following table:
n
50
3.535534
100
2.5
150
2.041241
200
1.767767
As the sample size is increased, the standard error of the mean is decreased.