Question

1.) Suppose we have a normally distributed population of scores with mean 150 and standard deviation 52. We know the standard error of the mean is 4. What is the value of the sample size?

2.) Suppose we have a normally distributed population of scores with mean 300 and standard deviation 45. We know the standard error is 3. What is the value of the sample size?

Answer 1

1) Here Given mean ( ) = 150

Standard deviation () = 52

Standard error (E ) = 4

We know that Standard error (E ) = = 4

  

take the square on bot sides, then

  

The value of sample size (n ) = 169

2)

Here Given mean ( ) = 300

Standard deviation () = 45

Standard error (E ) = 3

We know that Standard error (E ) =

  

  

take the square on bot sides, then   

  

The value of sample size (n ) = 225