Answer
a. 23.32 inches b. This will work for most people.
Work Step by Step
a. We find the z-score that corresponds to this is 1.6. Thus, it follows: $=(1.6)(1.2)+21.4=23.32$ Women are generally shorter, so when determining the minimum height, we do not worry about the height of women. b. We find the z-scores for each gender: $z_{men}=\frac{23.5-21.4}{1.2}=1.75$ $z_{women}=\frac{23.5-19.6}{1.1}=3.55$ Using a z-table, we see that over 95 percent of men and around 99.99 percent of women will fit, so this will work for most people.
