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Earn +20 ptsQ: Is a sample UNBIASED
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What is the definition for unbiased sample?
A sample is Unbiased if everyone in the sample have an equal chance of being selected
Why is the sample mean an unbiased estimator of the population mean?
The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.
Show that in simple random sampling the sample variance is an unbiased estimator of population variance?
It is a biased estimator. S.R.S leads to a biased sample variance but i.i.d random sampling leads to a unbiased sample variance.
What is the difference between a biased and unbiased sample?
Biased- (Not random) Unbiased-(Random) Example: (ubbiased) Woman takes random people to take a survey.
What is the the relationship between population and sample parameter and statistic?
The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.
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