Nonparametric statistics techniques are often used when the underlying distribution of the data is unknown or when the data does not meet the assumptions of parametric tests. It is desired to design a given automobile to allow enough headroom to accommodate comfortably all but the tallest 5% of people who drive. Former studies indicate that the heights of adult males in a certain population follow a normal distribution with a mean of 69 inches and a standard deviation of 3 inches. What should be the minimum headroom allowance, in inches, for the given automobile design?
a) 72.5
b) 71.5
c) 68.5
d) 70.5