Probability

stephroperez18

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Jul 19, 2020
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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 5.7-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 diameters that are in the smallest 3.1% or largest 3.1%.

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.


Where I get stuck at is solving for the extra number we need such as the the corresponding left and right z-scores, I look at the z-score table but the numbers don't match up.
 
Please show the work you did, including what you looked up in the table, so we can see where the problem might be. What didn't match up?
 
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