The assets (in billions of dollars) of the four wealthiest people in a particular country are 43, 25, 14, 10. Assume that samples of size n =2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability 43 19.5 17.5 34 28.5 14 26.5 25 12 10 (Type integers or fractions.)
b. The
(Round to two decimals)
c. Is the mean of the sampling distribution from part (b) equal to the mean of the population of the four listed values? If so, are those means always equal?
A. Yes, the mean of the sample means is equal to the mean of the population. These means are always equal, because the mean is an unbiased estimator.
B. No, the mean of the sample means is not equal to the mean of the population. These means are not always equal, becuse the neam is a biased estimator.
C. No, the mean of the sample means is not equal to the mean of the population. Thee means are not always equal, because the mean is an unbiased esstimator.
D. Yes, the mean of the sample means is equal to the mean of the population. Thee means are always equal, because the mean is a biased esstimator.
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