The average height of American men is 69" with standard deviation of 3" and is assumed...
The average height of American men is 69" with standard deviation of 3" and is assumed to be normally distributed. (PLEASE SHOW WORK)
A. How tall must a mattress be so that only 1% of American men find it too short?
B. What if a clothing manufacturer wishes to produce pants of a length to accommodate the middle 95% of the population of American men. What are the heights/lengths of the middle 95%?
Homework Answers
A)for top 1% ; from normal value table ; crtiical z =2.33
therefore corresponding value =mean+z*std deviation =69+2.33*3=75.99 ~ 76.0''
B) for middle 95% values ; crtiical z =-/+ 1.96
therefore corresponding values =69-/+1.96*3=63.12 to 74.88
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