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Q: Is pooled variance necessary in order to have accurate estimate of standard of error with two different sample sizes?
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What happens if you estimate population standard deviation with the sample standard deviation?

Not a lot. After all, the sample sd is an estimate for the population sd.


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Why should you calculate standard deviation?

It gives an indication of the spread in the values: are they all very close to the mean value or scattered across a wide range of values? That is important in determining how accurate your point estimate of the mean is.


What is the statistic that is used to estimate a population standard deviation?

the sample standard deviation