Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05.
Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05.
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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Question
![Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the
average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this
hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the
mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha)
used for this problem is 0.05.
What is the appropriate test statistic (Student must complete by showing by formula using the ap-
propriate values in that formula "showing work" and the final answer and appropriate label)?
O T test score = (108-110)/(21/sqrt(45)) = -.639
T test score (108-110)/(21/sqrt(45)) = .639
%3D
OT test score = (110-108)/(21/sqrt(45)) = .639
%3D
T test score (108-110)/(45/sqrt(21)) =-.2037
%3D
素](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bfc36be-e28f-4ea3-9ce3-fb6548769620%2Fce700b6b-882b-4004-83bf-bf823175005e%2Fpl6pdnx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the
average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this
hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the
mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha)
used for this problem is 0.05.
What is the appropriate test statistic (Student must complete by showing by formula using the ap-
propriate values in that formula "showing work" and the final answer and appropriate label)?
O T test score = (108-110)/(21/sqrt(45)) = -.639
T test score (108-110)/(21/sqrt(45)) = .639
%3D
OT test score = (110-108)/(21/sqrt(45)) = .639
%3D
T test score (108-110)/(45/sqrt(21)) =-.2037
%3D
素
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