Question

Three randomly selected households are surveyed. The numbers of people in the households are

44​,

55​,

and

99.

Assume that samples of size

nequals=2

are randomly selected with replacement from the population of

44​,

55​,

and

99.

Listed below are the nine different samples. Complete parts​ (a) through​ (c).

Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, and 9. Assume that samples

a) find the variance of each of the nine samples, then summarize the sampling distribution of the variances in a table representing the probability distribution of the sample variances.

b) how does the population variances compare to the mean of the sample variances.

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Question: Three randomly selected households are surveyed. The numbers of people in the households are 2,4,...

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Three randomly selected households are surveyed. The numbers of people in the households are 2,4,9

Assume that samples of size

nequals=2

are randomly selected with replacement from the population of 2,3,9

Listed below are the nine different samples. Complete parts​ (a) through​ (c).

2,2 

2​,4   

2,9   

4​,2   

4​,4  

4​,9  

9​,2  

9​,4   

9​,9

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 probabillity

b. Compare the population median to the mean of the sample medians.

c. Do the sample medians target the value of the population​ median? In​ general, do sample medians make good estimators of population​ medians? Why or why​ not?

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Answer #1


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