Given:
u= 100
o= 15
Therefore:
a) X=105
[tex]Z=\frac{X-\mu}{\sigma}=\frac{105-100}{15}=\frac{5}{15}=\frac{1}{3}[/tex]Answer: Z = 1/3
b) X=90
[tex]Z=\frac{90-100}{15}=\frac{-10}{15}=-\frac{2}{3}[/tex]Answer: Z = -2/3
c) X=135
[tex]Z=\frac{135-100}{15}=\frac{35}{15}=\frac{7}{3}[/tex]Answer: Z = 7/3
d) X=80
[tex]Z=\frac{80-100}{15}=\frac{-20}{15}=-\frac{4}{3}[/tex]Answer: Z = -4/3
