1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading Mathematics 502 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).
1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading Mathematics 502 515 Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values computed in parts (a) and (b).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. Suppose population size N = 10,000
The College Board reported the following mean scores for the three parts of the Scholas-
tic Aptitude Test (SAT) (The World Almanac, 2009):
Critical Reading
502
515
Mathematics
Writing
494
Assume that the population standard deviation on each part of the test is o = 100.
a. What is the probability that a random sample of 90 test takers will provide a sample
mean test score within 10 points of the population mean of 502 on the Critical Read-
ing part of the test?
b. What is the probability that a random sample of 90 test takers will provide a sample
mean test score within 10 points of the population mean of 515 on the Mathematics
part of the test? Compare this probability to the value computed in part (a).
c. What is the probability that a random sample of 100 test takers will provide a sample
mean test score within 10 of the population mean of 494 on the writing part of the test?
Comment on the differences between this probability and the values computed in parts
(a) and (b).
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