Question

A random sample of 60 observations was drawn from a large population and its standard deviation was found to be 2.5. Calculate the suitable standard error that this sample is taken from a population with standard deviation 3?

Answer 1

Sample size n = 60

Sample S.D S = 2.5

Population S.D a = 3

The standard error for sample S.D is given by

`sqrt(sigma^2/(2"n")) = sqrt((3)^2/(2(60))`

= `3/sqrt(120)`

= `3/10.954` = 0.27387

= 0.2739

Thus standard error for sample S.D = 0.2739