![]() ![]() ![]() There is always a trade-off! Book traversal links for 24. This is a good thing, but of course, in general, the costs of research studies no doubt increase as the sample size \(n\) increases. That suggests that on the previous page, if the instructor had taken larger samples of students, she would have seen less variability in the sample means that she was obtaining. When the means are not significantly different, the variance of the sample means will be small, relative to the mean of the sample variances. Our result indicates that as the sample size \(n\) increases, the variance of the sample mean decreases. ![]() Starting with the definition of the sample mean, we have: Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. ![]()
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