Critical Thinking Consider use of a Students t
Chapter , Problem 6(choose chapter or problem)
Critical Thinking Consider use of a Student’s t distribution to test the difference of means for independent populations using random samples of sizes \(n_1\) and \(n_2\).
(a) Which process gives the larger degrees of freedom, Satterthwaite’s approximation or using the smaller of \(n_1 - 1\) and \(n_2 - 1\)? Which method is more conservative? What do we mean by “conservative”? Note that computer programs and other technology commonly use Satterthwaite’s approximation.
(b) Using the same hypotheses and sample data, is the P-value smaller for larger degrees of freedom? How might a larger P-value impact the significance of a test?
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