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 11. Listed below are the nine different samples. Complete parts (a) through (c). 3, 3 3, 4 3, 11 4, 3 4, 4 4, 11 11, 3 11, 4 11, 11 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. (Type integers or fractions. Use ascending order of the sample medians.)

Explanation / Answer

The table for sample medians will be:

Sample Median Probability 3 1/9 3.5 2/9 4 1/9 7 2/9 7.5 2/9 11 1/9

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