The social organization Tall Clubs International has a requirement that women must be at least 70 in. tall. Assume that women have normally distributed heights with a mean of 63.7 in. and a standard deviation of 2.9 in. (based on Data Set 1 "Body Data" in Appendix B).
a. Find the percentage of women who satisfy the height requirement.
b. If the height requirement is to be changed so that the tallest 2.5% of women are eligible, what is the new height requirement?