For a population with _ _ 50 and _ _ 8, a. Find the z-score for each of the following X values. (Note: You should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations.) X - 54 X _ 62 X _ 52 X _ 42 X _ 48 X _ 34 b.Find the score (X value) that corresponds to each of the following z-scores. (Again, you should be able to find these values with out any formula or serious calculations.) z _ 1.00 z_ 0.75 z _ 1.50 z _ _0.50 z _ _0.25 z__1.50 Solution (54-50)/8= 0.5 (62-50)/8= 1.5 (42-50)/8=-1 (48-50)/8=-.25 (34-50)/8=-2.0 (x- 50)/8= 1.00 x= 58 (x-50)/8= 0.75 x= 56 (x-50)/8= 1.5 x= 62 (x-50)/8= 0.5 x= 54 (x-50)/8=0.25 x= 52 (x-50)/8= 1.50 x=62 Assuming the last three were supposed to be negative (x-50)/8= -.5 x= 46 (x-50)/8=-.25 x=48 (x-50)/8- -1.5 x= 38.

1. For a population with _ _ 50 and _ _ 8,
a. Find the z-score for each of the following X values.
(Note: You should be able to find these values using the definition of a z-score. You should not
need to use a formula or do any serious calculations.)
X - 54 X _ 62 X _ 52
X _ 42 X _ 48 X _ 34
b.Find the score (X value) that corresponds to each of the following z-scores. (Again, you
should be able to find these values with out any formula or serious calculations.)
z _ 1.00 z_ 0.75 z _ 1.50
z _ _0.50 z _ _0.25 z__1.50
Solution
(54-50)/8= 0.5 (62-50)/8= 1.5 (42-50)/8=-1 (48-50)/8=-.25 (34-50)/8=-2.0 (x-
50)/8= 1.00 x= 58 (x-50)/8= 0.75 x= 56 (x-50)/8= 1.5 x= 62 (x-50)/8= 0.5 x= 54 (x-50)/8=0.25
x= 52 (x-50)/8= 1.50 x=62 Assuming the last three were supposed to be negative (x-50)/8= -.5
x= 46 (x-50)/8=-.25 x=48 (x-50)/8- -1.5 x= 38