What Z score corresponds the 18th percentile?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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What Z score corresponds the 18th percentile?

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The mean income for a sample of 407 sports psychologists was $70,617 with a standard deviation of $41,373.  What is the income that represents the 25th percentile?

(separate questions)

Suppose you are a designer for the world’s largest manufacturer of toy dinosaur cars.  You have just designed a toy intended for 3- to 6-year-olds that will safely accommodate a child who is no shorter than 36 inches and no taller than 48 inches.  The mean height for children if this age group is 42 inches, and the standard deviation is 5 inches.

What proportion of the target sales population is too tall to safely use your product?

 
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