Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.7 inches and a standard deviation of 1.1 inches. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 1.7% or largest 1.7% of the population.

What is the minimum head diameter that will fit the clientele?

What is the maximum head diameter that will fit the clientele?