SOLUTION: Please Help Someone! At Loop College, the mean GPA of the current student body is 2.76 with a standard deviation of 0.64 Find the GPA of a student whose z-score is 1.5 (round to t

Algebra ->  Probability-and-statistics -> SOLUTION: Please Help Someone! At Loop College, the mean GPA of the current student body is 2.76 with a standard deviation of 0.64 Find the GPA of a student whose z-score is 1.5 (round to t      Log On


   

Question 964865: Please Help Someone!
At Loop College, the mean GPA of the current student body is 2.76 with a standard deviation of 0.64 Find the GPA of a student whose z-score is 1.5 (round to the nearest hundredth)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
z = (x-m)/s

x is the raw score
m is the mean
s is the standard deviation.

in your problem:

m is 2.76
s is .64
z is 1.5

plug those values into the formula and you get:

z = (x-m)/s becomes:

1.5 = (x-2.76)/.64

solve for x to get:

x = .64 * 1.5 + 2.76 which becomes:

x = 3.72