Three randomly selected households are surveyed. The numbers of people in the ho

Question

Three randomly selected households are surveyed. The numbers of people in the households are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4 and 10. Listed below are the nine different samples. Complete parts (a) through (c). 1, 1 1, 4 1, 10 4, 1 4, 4 4, 10 10, 1 10, 4 10, 10 a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. (Type an integer or a fraction. Use ascending order of the sample variances.)

Explanation / Answer

The table for variances will be:

s^2 Probability 0 1/3 4.5 2/9 18 2/9 40.5 2/9

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