Question

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 7.1-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 4.5% or largest 4.5%. What is the minimum head breadth that will fit the clientele?

min =

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

max =

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.

Answer #1

TOPIC:Use of the Normal distribution to find the required minimum and maximum points.

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 5.8-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 0.9% or largest 0.9%.
What is the minimum head breadth that will fit the clientele?
min =...

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 6.6-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? min =...

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 6.4-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 1.1% or largest 1.1%. What is the minimum head breadth
that will fit the clientele? min =...

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 6.8-in and a standard deviation
of 0.8-in. Due to financial constraints, the helmets will be
designed to fit all men except those with head breadths that are in
the smallest 3% or largest 3%.
What is the minimum head breadth that will fit the clientele?
min =...

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 6.2-in and a standard deviation
of 1.1-in. Due to financial constraints, the helmets will be
designed to fit all men except those with head breadths that are in
the smallest 2.6% or largest 2.6%. What is the minimum head breadth
that will fit the clientele? min =...

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 6.2-in and a standard deviation
of 1.1-in. Due to financial constraints, the helmets will be
designed to fit all men except those with head breadths that are in
the smallest 3.5% or largest 3.5%. What is the minimum head breadth
that will fit the clientele? min =...

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 7.1-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?
min =...

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 1.3% or largest 1.3%. What is the minimum head breadth
that will fit the clientele? min =...

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 5.6-in and a standard deviation
of 1.1-in. Due to financial constraints, the helmets will be
designed to fit all men except those with head breadths that are in
the smallest 3.2% or largest 3.2%.
What is the minimum head breadth that will fit the clientele?
min =...

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...

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