Question 1204164: 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 5.7-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 2.2% or largest 2.2%.
What is the minimum head breadth that will fit the clientele?
min =
What is the maximum head breadth that will fit the clientele?
Max=
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! for 2.2% on either side, this is a z=-2.015 and z=2.015
distance from the mean is z*sigma or 2.015*0.9=1.8135 in or 1.81 inches
the minimum is 3.89 in, the maximum is 7.51 inches
can check with normalcdf (3.89,7.51,5.7,0.9)
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