A surveywas conducted by the National Center for Health Statisticsto find the meanheight 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 deviationof 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 probabilitythat 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?