"recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller 's for the same a) when 0² o2, the former test can easily lead to erroneous conclusions if applied when the variances are different. " = (i) What does it mean by "smaller 3's for the same a"? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when o² = 02? Discuss from the point of view of equal sample sizes.

"recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller 's for the same a) when 0² o2, the former test can easily lead to erroneous conclusions if applied when the variances are different. " = (i) What does it mean by "smaller 3's for the same a"? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when o² = 02? Discuss from the point of view of equal sample sizes.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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