Suppose you have a normal distribution with known mu = 7 and sigma = 2. N(7,2). Compute the Z---score for:
a.X =8
b.X =2
c.X = 5
d.X =6
e.X =3
solution:
. N(7,2)
(a)
x=8 =7
=2
using z score formula
z=(x - ) /
=8-7/2
=0.5
'(b)
x=2
z=(x - ) /
=2- 7/2
=-2.5
(c)
x=5
z=(x - ) /
=5-7/2
z=-1
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