Question 1202984
critical z-score is plus or minus 1.96.
z = (x-m)/s
z is the z-score
x is the raw score
m is the mean
s is the standad deviation
when z = 1.96 and s = 10 and m = 52, formula becomes 1.96 = (x-52)/10.
solve for x to get x = 1.96 * 10 + 52 = 71.6.
when z = -1.96 and s = 10 and m = 52, formula becomes -1.96 = (x-52)/10.
solve for x to get x = -1.96 * 10 + 52 = 32.4.
critical x-score is 52 plus or minus 19.6 = between 32.4 and 71.6
i don't see any of your selections matching that.