Response the below:
Q1. Heights of Presidents. With a height of 67 in., William McKinley was the shortest president of the past century. The presidents of the past century have a mean height of 71.5 in. and a standard deviation of 2.1 in.
a. What is the difference between McKinley's height and the mean height of presidents from the past century?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert McKinley's height to a z score.
d. If we consider "usual" heights to be those that convert to z scores between -2 and 2, is McKinley's height usual or unusual?
Q2. World's Tallest Woman. Sandy Allen is the world's tallest woman with a height of 91.25 in. (or 7 ft. 7.25 in.). Women have heights with a mean of 63.6 in. and a standard deviation of 2.5 in.
a. What is the difference between Sandy Allen's height and the mean height of women?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert Sandy Allen's height to a z score.
d. Does Sandy Allen's height meet the criterion of being unusual by corresponding to a z score that does not fall between -2 and 2?