For a population with mean of 100 and a standard devation o

For a population with mean of = 100 and a standard devation of ? = 20, find the following raw scores corresponding to each of the following z-scores:

(a) =

(b) =

(c) =

(d) =

z-score		Raw Score (X)
2.50		(a)
-.50		(b)
-1.50		(c)
.25		(d)

For a population with mean of ½ = 100 and a standard devation of ? = 20, find the following raw scores corresponding to each of the following z-scores: z-score Raw Score (X) 2.50 (a) -.50 (b) -1.50 (c) .25 (d) (a) = (d) = (c) = (b) =

Solution

(a) X=mu+ Z*s =100+2.5*20 =150

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(b)100-0.5*20 = 90

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(c)100-1.5*20 = 70

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(d)100-0.25*20 = 95