Assume the grades on a test in a very large class are normally distributed with a mean of 72 and a standard deviation of 4. Label the picture of the normal curve, showing three total standard deviations, and then use your graph to answer the following:  a.) Graph: b.) What do you know about grades that are between 64 and 80? c.) What do you know about grades that are lower than 64? d.) Using the 68 – 95 – 99.7 Rule, what percentage of scores are lower than 64? e.) Would you expect many people to fail this test? Why or why not?

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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Assume the grades on a test in a very large class are normally distributed with a mean of
72 and a standard deviation of 4. Label the picture of the normal curve, showing three total
standard deviations, and then use your graph to answer the following: 
a.) Graph:
b.) What do you know about grades that are between 64 and 80?
c.) What do you know about grades that are lower than 64?
d.) Using the 68 – 95 – 99.7 Rule, what percentage of scores are lower than 64?
e.) Would you expect many people to fail this test? Why or why not?

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