The gradesin astandardizedtesthavea meanof78, aknownstandarddeviation of8,and arenormallydistributed.What is theprobabilityforthemean ofa class of25studentsto exceed80?

Answered: The grades in a standardized test have…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 60E: Explain the Multiplication Property of Probabilities.

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Question

The grades

in a

standardized

test

have

a mean

78, a

known

standard

deviation of

and are

normally

distributed.

What is the

probability

for

the

mean of

a class of

students

to exceed

80?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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