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 6.3-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 2.1% or largest 2.1%.
What is the minimum head breadth that will fit the
clientele?
(round your answer to 1 decimal place)
What is the maximum head breadth that will fit the
clientele?
(round your answer to 1 decimal place)
X :breadths of male heads
X~N(6.3,1)
a).let x be the minimum head breadth that will fit the clientele.
according to the problem:-
[ in any blank cell of excel type =NORMSINV(0.021) press enter]
the minimum head breadth that will fit the clientele = 4.3 inches
b).let x be the maximum head breadth that will fit the clientele.
according to the problem:-
[ in any blank cell of excel type =NORMSINV(0.979) press enter]
the maximum head breadth that will fit the clientele = 8.3 inches
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