Suppose that you have 3 people in a population. Each individual has the same probability of being part of a 2-person sample. The three people are listed in Table 1, with their respective weights.
A.) What is the population mean, geometric mean, and standard deviation?
B.) What is the number of two-person samples possible?
C.) What is the distribution of the sample means?
D.) What is the distribution of the sample standard deviations?
Name | Weights in lbs. |
Henry | 175 |
Mike | 162 |
Joseph | 191 |
C and D
Since the sampling size is very low,we can’t really infer anything about the sampling distribution. We can just see here that the means of each individual sample is different from the population mean. So is the case with standard deviation.
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