Hw Score: 80%, 12 of 15 pe 5.3.31 Question Hep nchens with a standan deviation o

Question

Hw Score: 80%, 12 of 15 pe 5.3.31 Question Hep nchens with a standan deviation of 2 00 inches Ar getions n a survey of women in a certain country (ages 20-20), the mean hoight ws about the speofied normal distribution (a) What height represents the 95th percentile? b)What height represents the firt qartle? Cick to view page 1 of the tabin, Click to view page 2 of the table ) The height thst represents the 95 percentench Round to two decimal places as needed) Enter your anower n the anewer box and then elck Check Anewe Co.yngt29????..en bh....-, commond

Explanation / Answer

Solution :

Given that mean ? = 66.6 , standard deviation ? = 2.69

(a) Z-value for 95th percentile is 1.645

=> The height that represents the 95th percentile is X = ? + Z*?

= 66.6 + 1.645*2.69

= 71.03

(b) Z-value for first quartile (25%) is -0.674

=> The height that represents the first quartile is X = ? + Z*?

= 66.6 + (-0.674)*2.69

= 64.79

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