STAT 1000 Lecture Notes - Lecture 32: Confidence Interval, Standard Deviation, Null Hypothesis
10 Sep 2018
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Note that the length of a confidence interval depends on the sample size,but not the population size! For a given sample size, our estimate will be just as precise, regardless of the size of the population (as long as the population size is reasonably large). Suppose we wanted to estimate the mean age of prison inmates for another youth center in manitoba. The agassiz youth center in portage la prairie has a smaller population with only 90 beds as opposed to the manitoba youth center with about 150. Assuming equal standard deviations and confidence levels, the margin of error will be the same for both detention centers. When collecting a sample, it is always wise to consider the purpose of our data collection. We would often like to achieve a certain precision of estimation. To accomplish this, we require a sufficient sample size.
