2.A professor is concerned that the two sections of college algebra that he teaches are notperforming at the same level. To test his claim, he looks at the mean exam score for arandom sample of students from each of his classes. In Class 1, the mean exam score for14 students is 81.1 with a standard deviation of 7.5. In Class 2, the mean exam score for19 students is 75.3 with a standard deviation of 3.8. Test the professor's claim at the0.02 level of significance. Assume that both populations are approximately normal andPopulation 2.that the population variances are equal. Let Class 1 be Population 1 and let Class 2 beStep 1. State the null and alternative hypotheses for the test. Fill in the blank below.A) >B) #C) <HoНа : 1Answer:: M1 = M2μ₂Step 2. Compute the value of the test statistic. Round your answer to three decimalplaces.Step 3. Draw a conclusion and interpret the decision.ndals to gain mysTipA) We reject the null hypothesis and conclude that there is insufficient evidence at a0.02 level of significance to say that the mean exam scores for the two classes areanu ai nevig 516 211291different.20.0B) We reject the null hypothesis and conclude that there is sufficient evidence at a0.02 level of significance to say that the mean exam scores for the two classes aredifferent.C) We fail to reject the null hypothesis and conclude that there is sufficient evidenceat a 0.02 level of significance to say that the mean exam scores for the two classes aredifferent.D) We fail to reject the null hypothesis and conclude that there is insufficient evidenceat a 0.02 level of significance to say that the mean exam scores for the two classes aredifferent.

Given : Claim : Two sections of college algebra that he teaches are not performing at the same…

Answered: A 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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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 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2 Ha: μ1__μ2
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