Consider a small population of n 5 units labeled 1 2 3 4 5


Consider a small population of N = 5 units, labeled 1, 2, 3, 4, 5, with respective y-values 3, 1, 0, 1, 5. Consider a simple random sampling design with a sample size n = 3. For your convenience, several parts of the following may be combined into a single table. (a) Give the values of the population parameters μ, τ , and σ2. List every possible sample of size n = 3. For each sample, what is the probability that it is the one selected? (b) For each sample, compute the sample mean y and the sample median m. Demonstrate that the sample mean is unbiased for the population mean and determine whether the sample median is unbiased for the population median.

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Basic Statistics: Consider a small population of n 5 units labeled 1 2 3 4 5
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