SOLUTION: Should we estimate the common population standard deviation s by just averaging the two sample standard deviations? What if the first sample is of size 10 but the second sample is

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Question 270667: Should we estimate the common population standard deviation s by just averaging the two sample standard deviations? What if the first sample is of size 10 but the second sample is of size 100? Would you want to weight the corresponding sample standard deviations equally? Which sample standard deviation, s1 or s2, would you “trust” more?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
This is a discussion question.
If the samples are homogeneous you might join them.
If not you might better go with the larger sample.
Think about and express your opinion.
Cheers,
Stan H.