we will start by coming up the width of each seat. to do this we must consider t
ID: 3151024 • Letter: W
Question
we will start by coming up the width of each seat. to do this we must consider the hip breadths of women. women's hip breadths are normally distributed with a mean of 15.2 inches and a standard deviation of 1.1 inches.decide what percentage of women you are willing to exclude top 5% to 1%. using what you know about normal distributions find the maximum hip breadth that you are willing to accommodate. men's hip breadths are normally distributed with a mean of 14.4 inches and standard deviation of 1inch. what percentage of men would be able to fit in these seats based on their hip breadths?
Explanation / Answer
we will start by coming up the width of each seat. to do this we must consider the hip breadths of women. women's hip breadths are normally distributed with a mean of 15.2 inches and a standard deviation of 1.1 inches.decide what percentage of women you are willing to exclude top 5% to 1%. using what you know about normal distributions find the maximum hip breadth that you are willing to accommodate. men's hip breadths are normally distributed with a mean of 14.4 inches and standard deviation of 1inch. what percentage of men would be able to fit in these seats based on their hip breadths?
Z value for top 5% = 1.645
Z value for top 1% = 2.326
For women, top 5%, x =15.2+1.645*1.1 = 17.0095
=17.01 inches
For women, top 1%, x =15.2+2.326*1.1 = 17.7586
=17.76 inches
For men, top 5%, x =14.4+1.645*1 = 16.045
=16.05 inches
For men, top 1%, x =14.4+2.326*1 = 16.726
=16.73 inches
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.