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 3,5, and 10. Assume that samples of size n 2 are randon selecded with replacement from the population of 3,5, and 10 Listed below are the nine different samples Complete parts (a) through (c) 333.53.10 53 55 5.10 10.3 10.5 10.10 det a. Find the median of each of the nine samples, then summaize the sampling distrbution of the medians in the format of a table representing the probablity distribution of the distind medan values Sample Median Probablity en Tools b. Compare the population median to the mean of the sample medians Choose the correct answer below cick to select your anowers)

Explanation / Answer

Here sample medians are 3,4,6.5,4,5,7.5,6.5,7.5,10

mean of the sample medians = 6.5

population median = 6

so both are not equal

a)

b) option A

c) option A

median p[x] 3 1/9 4 2/9 5 1/9 6.5 2/9 7.5 2/9 10 1/9

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