There were 800 math instructors at a mathematics convention.  Forty instructors were randomly selected and given an IQ test.  The...

There were 800 math instructors at a mathematics convention.  Forty instructors were randomly selected and given an IQ test.  The scores produced a mean of 130 with a standard deviation of 10.  Find a 95% confidence interval for the mean of the 800 instructores.  Use the finite population correction factor