Please help! It would be greatly appreciated! Three randomly selected households

Question

Please help! It would be greatly appreciated!

Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median Probability Click to select your answer(s).

Explanation / Answer

a) The probabilty distribution is

b) Correct Answer: option (B)

since Mean of sampling distribution of median is 6 which is equal to population mean (2+4+12)/3 = 6

c) Correct Answer: option (B)

  

Median Probability 2 0.1111111 3 0.2222222 4 0.1111111 7 0.2222222 8 0.2222222 12 0.1111111

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