An exam is administered to 20 high school students, chosen randomly from within a large school district. Suppose that, if everyone in the school district were to take the exam, scores would follow a normal distribution, with mean .69 and standard deviation .18. What is the probaiblity that the average score for these 20 students is more than 5 percentage points away from the population average (i.e. less than .64 or greater than .74)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An exam is administered to 20 high school students, chosen randomly from
 within a large school district. Suppose that, if everyone in the school district were to
 take the exam, scores would follow a normal distribution, with mean .69 and standard
 deviation .18. What is the probaiblity that the average score for these 20 students is
 more than 5 percentage points away from the population average (i.e. less than .64
 or greater than .74)?

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