Question

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined...

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)

Homework Answers

Answer #1

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

***in case of doubt, comment below. And if u liked the solution, please like.

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