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 13 students is 75.1 with a standard deviation of 5.8. In Class 2, the mean exam score for 16 students is 82.6 with a standard deviation of 7.3. Test the professor's claim at the 0.02 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 Class2 be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 13 students is 75.1 with a standard deviation of 5.8. In
Class 2, the mean exam score for 16 students is 82.6 with a standard deviation of 7.3. Test the professor's
claim at the 0.02 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 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Transcribed Image Text: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 13 students is 75.1 with a standard deviation of 5.8. In Class 2, the mean exam score for 16 students is 82.6 with a standard deviation of 7.3. Test the professor's claim at the 0.02 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 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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