Pooled sample estimate
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Example of pooled sample estimate
Samples of size 30 and 40 are taken from a population with unknown mean, [Equation goes here &- download the original to see it.], and unknown variance [Equation goes here &- download the original to see it.]. Using the data from the two samples, find the unbiased estimates of the mean and variance of the population. Sample 1 [Table goes here &- download the original to see it.] Sample 2 [Table goes here &- download the original to see it.] Solution Firstly, we calculate the individual sample statistics. [Equation goes here &- download the original to see it.] [Equation goes here &- download the original to see it.] Then, [Equation goes here &- download the original to see it.] [Equation goes here &- download the original to see it.] The pooled unbiased estimator of the population mean is 16.51 (2 D.P.) and the pooled unbiased estimator of the population variance is 2.22 (2 D.P.)
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Contents of
Pooled sample estimate
1 Pooled sample estimate &- Population and sample
2 Pooling samples
3 Example of pooled sample estimate
4 Pooled estimator of the population proportion
5 Second Example of pooled sample estimate
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