A study examining the number of individuals recruited by extremist organizations in New England in the past year found that, on average, the organization recruited 14.8 people with a standard deviation of 5.1. Using this information, find…  (a) What proportion of organizations recruited less than 5 people? (hint: calculate z-score first!)   (b) what proportion recruited more than 10 people? (c) what proportion recruited between 5 and 10 people?

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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A study examining the number of individuals recruited by extremist organizations in New England in the past year found that, on average, the organization recruited 14.8 people with a standard deviation of 5.1. Using this information, find… 

(a) What proportion of organizations recruited less than 5 people? (hint: calculate z-score first!)  

(b) what proportion recruited more than 10 people?

(c) what proportion recruited between 5 and 10 people?

(d) one organization in the dataset has a z-score of z = -2.5. How many did this organization recruit? (hint, this is where you need to use algebra to solve the z-score formula for x

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one organization in the dataset has a z-score of z = -2.5. How many did this organization recruit? (hint, this is where you need to use algebra to solve the z-score formula for x)

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