Why do we pick z = .52 instead of z = .53 or something else when you have the left tail area of 70%??
ANSWER:
When we have an area we look to find the CLOSEST z-value associated with it.
There is no .7000 but we see .6985 and .7019.
Which of these is closest to .7000?
.6985 is closer so we choose the z-score associated with it aka
z = .52
