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-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 1.3% or largest 1.3%.

What is the minimum head breadth that will fit the clientele?
min =

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

Do not round your answer.

Answer 1

Solutlon Glven that SO, using standard normal table PCZ2)1.3 lo -P(Z42)= O.013 PCZ-2.23) 0.013 NSI2.23 formula using z-s Core X -2.23x0.8+7 X5.216 1-P C2N0.013 eCz<N)IIT o.013 PCZANCRO. 987 P(z2.13).987 N22.23 using 2-score formule X3NATS 2 2.23x0.8 7 3-784