From the course: Statistics Foundations 3: Using Data Sets
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Sampling distribution of the mean
From the course: Statistics Foundations 3: Using Data Sets
Sampling distribution of the mean
- Through the use of the central limit theorem, we've seen just a few simple random samples guide us in the direction of the population proportion. We can do the same with the mean of a population. Suppose there's a league of college basketball players. 3,000-plus players are in the league. We'd like to know the average weight of basketball players in the league, the population mean. But we don't want to weigh all 3,000-plus players. What can we do? Well, we can take four simple random samples. Each sample includes the weight of five players in the league. Our sample size is five. As you can see, in Sample A, the five players had weights of 180, 160, 205, 195, and 145. The mean weight of this sample is 177. Here are the three other samples. Sample B has a mean of 174. Sample C has a mean of 181. And Sample D has a mean of 172. If we then average those four sample means, 177, 174, 181, and 172, we get the…
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