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 1.2 and 12. Assume that samples of size a = 2 are randomly selected with replacement from the population of 1, 2, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 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 distribution of the median values. b. Compare the population median to the mean of the sample medians. Choose the correct answer below. A. The population median is not equal to the mean of the sample medians (is also or double the mean of the sample medians.) B. The population median equal to double the mean of the sample medians C. The population median is equal half of the mean of the sample median D. The population median is equal to the mean of the sample medians.

Explanation / Answer

a) The table will be:

b) Option A is correct.

c) Option C is correct.

Sample Median Probability 1 1/9 1.5 2/9 2 1/9 6.5 2/9 7 2/9 12 1/9

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