Question
In a survey of men in a certain country (ages 20minus−29), the mean height was 62.862.8...
In a survey of men in a certain country (ages 20minus−29), the mean height was 62.862.8 inches with a standard deviation of 2.72.7 inches. (a) What height represents the 9898th percentile? (b) What height represents the first quartile?
Round to two decimal places as needed
Homework Answers
Answer #1
find z score for corresponding 98th Percentile (0.98) and first quartile 0.25
z score of 0.98 = 2.326
z score for 0.25 = -0.67
The mean increased by the product of z score and the standard deviation:
(a) What height represents the 98th percentile?
x = μ +zσ
x = 62.8+2.326*2.7 = 69.08
(b) What height represents the first quartile?
x = μ +zσ
x = 62.8-0.67*2.7 = 60.99
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