Engineers must consider the diameters of heads when designing helmets. The company researchers determined that the population of potential clientele have head diameters that are normally distril with a mean of 7-in and a standard deviation of 0.8-in. Due to financial constraints, the helmets wi. designed to fit all men except those with head diameters that are in the smallest 1% or largest 1%. What is the minimum head diameter that will fit the clientele? min = What is the maximum head diameter that will fit the clientele? max =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Engineers must consider the diameters of heads when designing helmets. The company researchers have
determined that the population of potential clientele have head diameters 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 diameters that are in the smallest 1% or largest 1%.
What is the minimum head diameter that will fit the clientele?
min =
What is the maximum head diameter 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.
Transcribed Image Text:Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters 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 diameters that are in the smallest 1% or largest 1%. What is the minimum head diameter that will fit the clientele? min = What is the maximum head diameter 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.
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