Anthony says to Eric that he is a stronger student because his average grade for the first six quizzes is higher. However, Eric replies that he is more stable because the variance of his grades is lower. The actual scores of the two friends (presumably, independent and normally distributed) are in the table. (a) Is there significant evidence to support Anthony’s claim? State H0 and HA. Test equality of variances and choose a suitable two-sample t-test. Then conduct the test and state conclusions. Use unpooled formula (b) Is there significant evidence to support Eric’s claim? State H0 and HA and conduct the test. Perform a one tailed test to compare the variances. For each test, use the 5% level of significance
Anthony says to Eric that he is a stronger student because his average grade for the first
six quizzes is higher. However, Eric replies that he is more stable because the variance of his
grades is lower. The actual scores of the two friends (presumably, independent and normally
distributed) are in the table.
(a) Is there significant evidence to support Anthony’s claim? State H0 and HA. Test
equality of variances and choose a suitable two-sample t-test. Then conduct the test
and state conclusions. Use unpooled formula
(b) Is there significant evidence to support Eric’s claim? State H0 and HA and conduct
the test. Perform a one tailed test to compare the variances.
For each test, use the 5% level of significance.
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