For a particular population a sample of n 9 scores has a st

For a particular population, a sample of n = 9 scores has a standard error of 8. For the same population, a sample of n = 16 scores would have a standard error of ____.

Solution

As

SE = s/sqrt(n)

Then

s = SE*sqrt(n)

For the first case, we get

s = 8*sqrt(9) = 27

Thus, if n = 16,

SE = s/sqrt(n)

SE = 27/sqrt(16) = 6.75 [ANSWER]