This document provides several problems involving z-scores and standard normal distributions: (1) it asks to find the percent of z-scores below and above certain values, and between two values; (2) it asks to find z-scores when given the area under the normal curve; and (3) it asks to calculate the percentage of women eligible for a club given requirements on height, the mean height of women, and the standard deviation.

1. Working it ...
zzZzz by Eyþór

2. Find the percent of z-scores in a standard normal distribution that are:
(a) below z = 0.52 (b) above z = -2.35
(c) between z = -1.11 and z = 0.92 (d) between z = 0.55 and z = 0.15

3. Find the z-score if the area under a standard normal curve:
(a) to the left of z is 0.812
invNorm(0.812)
(b) to the right of z is 0.305
(c)to the right of z is 0.785

4. Determine the values for z and x.

5. A club called The Beanstalk Club has a minimum height requirement of
5'10''. Women in North America have a mean height of 5' 5.5'', and a
standard deviation of 2.5''. What percentage of women are eligible?
Assume that the heights of women normally distributed. Include a sketch
with your answer.