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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?
Solution
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
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