Two college instructors are interested in whether or not there is any variation in the way...
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 60.6. The second instructor's grades have a variance of 76.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right) Calculate the test statistic of the F-test about two variances. (answer to 3 decimal places)
Homework Answers
Solution :
Test statistic = F
= s 22 / s 12
= 76.8 / 60.6
= 1.267
Test statistic = F = 1.267
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