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 3, 4, and 11. Assume that samples of size n 2 are randomly selected with replacement from the population of 3, 4, and 11. Listed below are the nine different samples. Complete parts (a) th rough (c) 3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11 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. Probability 0 0.5 49 9 2 32 (Type an integer or a fraction. Use ascending order of the sample variances,)

Explanation / Answer

using ms-excel (command=var()) for sample variance we find s2

following probability distribution is computed, as 0 apprears 3 times, 0.5 two times, 24.5 two times and 32 two times, out of 9

sample1 sample2 sample3 sample4 sample5 sample6 sample7 sample8 sample9 obervation1 3 3 3 4 4 4 11 11 11 obervation2 3 4 11 3 4 11 3 4 11 s2 0 0.5 32 0.5 0 24.5 32 24.5 0

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