Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests. a) On which test did Bob do better relative to his classmates? Explain. b) The scores on the tests each approximately follow a normal distribution and there are 50 students in each class How many students did better than Bob in each case?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores
on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests.
a) On which test did Bob do better relative to his classmates? Explain.
b) The scores on the tests each approximately follow a normal distribution and there are 50
students in each class
How many students did better than Bob in each case?
Page 8 of 11
Transcribed Image Text:Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests. a) On which test did Bob do better relative to his classmates? Explain. b) The scores on the tests each approximately follow a normal distribution and there are 50 students in each class How many students did better than Bob in each case? Page 8 of 11
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