Consider use of a Students 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, Satterthwaites approximation or using the smaller of n 1 1 and n 2 1 Which method is more conservati...

a Satterthwaites gives the larger degrees of freedom It is more conservat ...

Consider use of a Students t distribution to test the difference of means for independent populations using

Question:

Consider use of a Student’s t distribution to test the difference of means for independent populations using random samples of sizes n₁ and n₂.

(a) Which process gives the larger degrees of freedom, Satterthwaite’s approximation or using the smaller of n₁ – 1 and n₂ – 1? Which method is more conservative? What do we mean by “conservative”? computer programs and other technologies 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?

Distribution
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