We have the following:
We must calculate the value of z
a.
[tex]Z=\frac{x-m}{s}[/tex]x, is the value to evalute (0.8 - 1)
m, is the mean (0.88)
s, is the standard deviation (0.3)
n, is the sample size (36)
[tex]\begin{gathered} \frac{0.8-0.88}{0.3}Now,[tex]0.6554-0.3974=0.258[/tex]Therefore, the probability is 0.258 or 25.8%
b.
[tex]Z=\frac{x-m}{\frac{s}{\sqrt[]{n}}}[/tex]x, is the value to evalute (0.8 - 1)
m, is the mean (0.88)
s, is the standard deviation (0.3)
n, is the sample size (36)
replacing:
[tex]\begin{gathered} \frac{0.8-0.88}{\frac{0.3}{\sqrt[]{36}}}now,[tex]0.9918-0.0548=0.937[/tex]Therefore, the probability is 0.937 or 93.7%
