The mean score for freshmen on an aptitude test at a certain college is 540, with a standard deviation of 50. Assume the means to be measured to any degree of accuracy. What is the probability that two groups selected at random, consisting of 63 and 50 students, respectively, will differ in their mean scores by (a) more than 12 points? (b) an amount between 4 and 8 points?

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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The mean score for freshmen on an aptitude test at a certain college is 540, with a standard deviation of 50.
Assume the means to be measured to any degree of accuracy. What is the probability that two groups selected at
random, consisting of 63 and 50 students, respectively, will differ in their mean scores by
(a) more than 12 points?
(b) an amount between 4 and 8 points?
Transcribed Image Text:The mean score for freshmen on an aptitude test at a certain college is 540, with a standard deviation of 50. Assume the means to be measured to any degree of accuracy. What is the probability that two groups selected at random, consisting of 63 and 50 students, respectively, will differ in their mean scores by (a) more than 12 points? (b) an amount between 4 and 8 points?
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