A survey was conducted by the National Center for Health Statistics to find the mean height of American men. In the survey, respondents were grouped by age. The distribution of respondents in the 20 - 29 age group had a mean height of 69.2 inches and a standard deviation of 2.9 inches. Using the 68 - 95 - 99.7 Rule, determine the following:
a. Height interval containing 95% of the distribution.
b. What percentage was between 69.2 inches and 75inches tall?
c. What percentage is shorter than 66.3 inches?
d. What is the probability that a particular man will be between 66.3 and 72.1inches tall ?
e. What is the height of a particular man if only 2.5% of all men are shorter?
f. Given a randomly selected group of 200 men, how many of them would you
expect to be less than 63.4 inches tall or more 75 inches tall?