6. The assets​ (in billions of​ dollars) of the four wealthiestpeople in a particular country are 39,35,15,14. Assume that samplesof size n=2 are randomly selected with replacement from thispopulation of four values
a. After identifying the 16 different possiblesamples and finding the mean of each​ sample, construct a tablerepresenting the sampling distribution of the sample mean. In the​table, values of the sample mean that are the same have beencombined.
                         X | Probability |
39 | |
37 | |
35 | |
27 | |
26.5 | |
(Type integers or​ fractions.)
X | Probability |
25 | |
24.5 | |
15 | |
14.5 | |
14 | |
(Type integers or​ fractions.)
b. Compare the mean of the population to themean of the sampling distribution of the sample mean.
The mean of the​ population, ____ is, (greater than/lessthan/equal to) the mean of the sample​ means, ___.
​(Round to two decimal places as​ needed.)
c. Do the sample means target the value of thepopulation​ mean? In​ general, do sample means make good estimatesof population​ means? Why or why​ not?
The sample means (Do Not target/target) the population mean. In​general, sample means (Do/ Do Not) make good estimates ofpopulation means because the mean is (an unbiased/ a biased)estimator
