Engineers must consider the breadths of male heads when designing helmets. The c

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 5.7-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 smallest 2.4% or largest 2.4%
What is the minimum head breadths that will fit the clientele? Min=
What is the maximum Head breadth that will fit the clientele? Max= 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 1.1-in. due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are smallest 2.4% or largest 2.4%
What is the minimum head breadths that will fit the clientele? Min=
What is the maximum Head breadth that will fit the clientele? Max=
What is the minimum head breadths that will fit the clientele? Min=
What is the maximum Head breadth that will fit the clientele? Max=

Explanation / Answer

Ans:

Given that

mean=5.7

standard deviation=1.1

Now,for smallest 2.4%:

P(Z<=z)=0.024

z=-1.98

minimum head breadth=5.7-1.98*1.1=3.52 inch

For,largest head breadth,

P(Z>=z)=0.024

P(Z<=z)=1-0.024=0.976

z=1.98

Maximum head breadth=5.7+1.98*1.1=7.88 inch

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.