Answered: professor is concerned that the two…

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

A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 1717 students is 80.380.3 with a standard deviation of 1.61.6. In Class 2, the mean exam score for 1919 students is 82.182.1 with a standard deviation of 2.92.9. Test the professor’s claim at the 0.010.01 level of significance. Assume that both populations are approximately normal and that the population variances are equal. Let Class 1 be Population 1 and let Class 2 be Population 2.

Step 1 of 3:

State the null and alternative hypotheses for the test. Fill in the blank below.

H0Ha: μ1=μ2: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2H0: μ1=μ2Ha: μ100000000_μ2

Step 2 of 3 :

Compute the value of the test statistic. Round your answer to three decimal places.

3) draw a conclusion and form a decision

(word it like "we fail to reject the null hypothesis and conclude that there is sufficient evidence")

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