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...

Extracted text: 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 85.6. He knows the population standard deviation for the evening classes to be 4.6 points. A random sample of 150 students from morning classes results in a mean test score of 86.7. He knows the population standard deviation for the morning classes to be 8.3 points. Test his claim with a 99 % level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision. Answer 围 Tables E Keypad Keyboard Shortcuts We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance to support the professor's claim that the mean test score of students in the evening classes is lower than the mean test score of students the morning classes.