Need help on this one

[mrsdisp911]

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 2.1% or largest 2.1%.


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

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

 

[ksdhart2]

That's a very nice homework problem you have there... but what are your thoughts on it? What have you tried? What do you know about a normal distribution? Have you learned how to use a Z-table to determine how many standard deviations below the mean the lowest 2.1% is, and how many standard deviations above the mean the highest 2.1% is?

Please re-read the Read Before Posting thread that's stickied at the top of each sub-forum, and comply with the rules therein. Specifically, please share with us any and all work you've done on this problem, even including the parts you know for sure are wrong. Thank you.