Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined
that the population of potential clientele have head breadths that are normally distributed with a mean of 6-in and a standard deviation of 0.9-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 1.5% or largest 1.5%.
a) What is the minimum head breadth that will fit the clientele?
b) What is the maximum head breadth that will fit the clientele?
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.