The score for freshmen on an aptitude test at WSU Vancouver has mean of 560, with a standard deviation of 38. Assume the means to be measured to any degree of accuracy; hence grades can be any nonnegative real number. Two random samples are selected, one with 38 scores and one with 44 scores. What is the probability that two random samples will differ in their mean scores by less than 20 points? P(|X₁ X₂ <20) =[ 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The score for freshmen on an aptitude test at WSU
Vancouver has mean of 560, with a standard deviation of
38. Assume the means to be measured to any degree of
accuracy; hence grades can be any nonnegative real
number. Two random samples are selected, one with 38
scores and one with 44 scores.
What is the probability that two random samples will differ
in their mean scores by less than 20 points?
P(|X₁ X₂ < 20) =
X1
-
Transcribed Image Text:The score for freshmen on an aptitude test at WSU Vancouver has mean of 560, with a standard deviation of 38. Assume the means to be measured to any degree of accuracy; hence grades can be any nonnegative real number. Two random samples are selected, one with 38 scores and one with 44 scores. What is the probability that two random samples will differ in their mean scores by less than 20 points? P(|X₁ X₂ < 20) = X1 -
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