The assets (in billions of dollars) of the four wealthiest people in a particular country are 35, 28, 16, 15. 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. x Probability X Probability 35 22 31.5 21.5 28 16 25.5 15.5 25 15 (Type integers or fractions.)i View an Example X Question Help The assets (in billions of dollars) of the four wealthiest people in a particular country are 42, 39, 35, 23. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. Recall that the mean of a set of data is the measure of center found by adding the data values and dividing the total by the number of data values. Calculate the mean of the population. 42 + 39+ 35 + 23 =34.75 The mean of the sampling distribution, or the mean of all possible sample means, is _[x . P(x)], where x is each distinct mean and P(x) is the corresponding probability. Calculate the mean of the sampling distribution. [(x. P(x) = (42. 76) + (40.5. 76) + (39- 76) + (38.5. 76) +(37- 76 (35. 76) + ( 32.5. 76) + ( 31. 76) +(29- 76) +(23.76) = 34.75 The mean of the population is equal to the mean of the sampling distribution. c. Do the sample means target the value of the population mean? In general, do sample means make good estimates of population means? Why or why not? An unbiased estimator is a statistic that targets the value of the population parameter in the sense that the sampling distribution of the statistic has a mean that is equal to the mean of the corresponding parameter. Question is complete. ? All parts showing Close