MTH 380- Midterm Exam Guide - Comprehensive Notes for the exam ( 49 pages long!)

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The mean of the highest salary offered to marketing mbas. From the data we have: x1 65,624 x2 60,423 s12. Pooled variance hypothesized mean difference df t stat. Insufficient evidence to conclude finance mbas are offered higher salaries than marketing mbas. So, why could we not reject h0 and favor h1 where. Sp2 is large (because the sample variances are large) A large variance reduces the value of the t statistic and it becomes more difficult to reject h0. t (x1 x2) (m m ) s p2 ( n1 n1 ) 12. The values each sample consists of might markedly vary f observations. But the differences between pairs of observations might be quite close to one another, resulting in a small variability of the differences. Since the difference of the means is equal to the mean of the differences we can rewrite the hypotheses in terms of md (the mean of the differences) rather than in terms of m1 m2.

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