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Calculating sample variances and poolded variance

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One sample has SS = 35 and a second sample has SS = 45.

a. Assuming that n = 6 for both samples, calculate each of the sample variances, then calculate the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances.

b. Now assume that n = 6 for the first sample and n = 16 for the second. Again, calculate the two sample variances and the polled variance. You should find that the pooled variance is closer to the variance for the larger sample.

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Solution Summary

This solution shows how to calculate individual sample variances from two samples and then shows how to calculate a single variance from both samples (the pooled variance sample using information from both samples) assuming the populations from which the samples were selected have the same population variance.

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One sample has SS = 35 and a second sample has SS = 45.
a. Assuming that n = 6 for both samples, calculate each of the sample variances, then calculate the pooled variance. Because the samples are the same ...

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