z-score is calculated as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
where x is the raw score, μ is the mean, and σ is the standard deviation.
Substituting with x = 71 in, μ = 69.6 in, and σ = 3.05 in, we get:
[tex]z=\frac{71-69.6}{3.05}=\frac{1.4}{3.05}=0.46[/tex]
We want to know the probability of z greater than 0.46. We can do this with the help of the next table:
(Notice that the table shows the probability of z less than some z-score)
P(Z > 0.46) = 1 - P(Z < 0.46) = 1 - 0.6772 = 0.3228
