A variable x is normally distributed with mean 22 and standard deviation 9. Round your answers to the nearest hundredth as needed.
a) Determine the z -score for x = 26 . z =
b) Determine the z -score for x = 17 . z =
c) What value of x has a z -score of 0.67 ? x =
d) What value of x has a z -score of − 0.4 ? x =
e) What value of x has a z -score of 0 ? x =
solution:
a
using z-score formula
z =X -/
z=26-22/9
z=0.44
b
using z-score formula
z =X -/
z=17-22/9
z=-0.56
c.
Using z-score formula
x= z * +
x= 0.67*9+22
x= 28.03
d.
Using z-score formula
x= z * +
x= -0.4 *9+22
x= 18.4
e
Using z-score formula
x= z * +
x= 0*9+22
x= 22
A variable x is normally distributed with mean 22 and standard deviation 9. Round your answers...
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