SOLUTION: in a population distribution, a score of x=28 corresponds to z=-1 and a score of x=34 corresponds to z=-.5 find the mean and standard deviation for the population

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Question 1085080: in a population distribution, a score of x=28 corresponds to z=-1 and a score of x=34 corresponds to z=-.5 find the mean and standard deviation for the population
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
z=%28X-mu%29%2Fsigma
so
-1=%2828-mu%29%2Fsigma
1.28-mu=-sigma
and
-0.5=%2834-mu%29%2Fsigma
-0.5sig%2Ca=34-mu
2.-sigma=68-2mu
Substitute from 1,
28-mu=68-2mu
mu=68-28
mu=40
Now use either equation to solve for sigma.