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In a survey of women in a certain country​ (ages 20-29), the mean height was 65.4...

In a survey of women in a certain country​ (ages 20-29), the mean height was 65.4 inches with a standard deviation of 2.66 inches. Answer the following questions about the specified normal distribution.

​(a) What height represents the 95th ​percentile? ​(b) What height represents the first​ quartile?

Math   Statistics-And-Probability   
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Answer #1

Let ,

(a) Now ,

.................(I)

Also , from standard normal probability table

.............(II)

From (I) and (II) , we get,

The the weight represents the 95th percentile is 69.76

(b) Now ,

.................(I)

Also , from standard normal probability table

.............(II)

From (I) and (II) , we get,

The the weight represents the first quartile is 63.62.

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