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A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 76.8. He knows the population standard deviation for the evening classes to be 7.2 points. A random sample of 200 students from morning classes results in a mean test score of 77.8. He knows the population standard deviation for the morning classes to be 1.9 points. Test his claim with a 90% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2.   Step 2 of 3 :   Compute the value of the test statistic. Round your answer to two decimal places.

A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 76.8. He knows the population standard deviation for the evening classes to be 7.2 points. A random sample of 200 students from morning classes results in a mean test score of 77.8. He knows the population standard deviation for the morning classes to be 1.9 points. Test his claim with a 90% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2.   Step 2 of 3 :   Compute the value of the test statistic. Round your answer to two decimal places.

MATLAB: An Introduction with Applications
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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A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 76.8. He knows the population standard deviation for the evening classes to be 7.2 points. A random sample of 200 students from morning classes results in a mean test score of 77.8. He knows the population standard deviation for the morning classes to be 1.9 points. Test his claim with a 90% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2.
 
Step 2 of 3 :  
Compute the value of the test statistic. Round your answer to two decimal places.
Expert Solution
Step 1: Determine the given variables.

The question is about hypothesis testing.

Given :

Randomly selected no. of students in the evening class ( n1 ) = 250

Sample mean test scores of the students of evening class ( x with bar on top subscript 1 ) = 76.8

Population standard deviation for the evening class ( sigma subscript 1 ) = 7.2

Randomly selected no. of students in the morning class ( n2 ) = 200

Sample mean test scores of the students of morinng class ( x with bar on top subscript 2 ) = 77.8

Population standard deviation for the morning class ( sigma subscript 2 ) = 1.9

Level of confidence ( C ) = 0.90


To find :

Test the claim that the evening classes have lower mean test score than the morning classes.


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