Assume a population 0(43. 49. 52. and 59. Assume that samples of size n = 2 are randomly selected with replacement from the population Listed below are the sixteen different samples. Complete parts (a) through (ct 43,43 43,49 43,52 43,59 49,43 49,49 49,52 49,59 52,43 52.49 52.52 52.59 59.43 59.49 59.52 59.59 3. Find the median at each at the sixteen samples, then summarize the sampling distribution of the medians in the tormat ot a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians. Sample Median Probability Sample Median Probability l V 1 _ i ' I i ' : i ' | ' _ i ' | : _ (Type integers or simplied fractions. Use ascending order at the sample medians.) b. Compare the population median to the mean otthe sample medians. Choose the correct answer below 0 A. The population median is not equal to the mean at the sample medians (it is also not half or double the mean of the sample medians). O B. The population median is equal to double the mean of the sample medians. O C. The population median is equal to hall of the mean of the sample medians. O D. The population median is equal to the mean otthe sample medians. 0. Do the sample medians target the value ot the population median? In general. do sample medians make unbiased estimators of population medians? Why or why not? Q A. The sample medians do not target the population median, so sample medians are unbiased estimators, because the mean oi the sample medians does not equal the population median. O B. The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median. O C. The sample medians do not target the population median. so sample medians are biased estimators. because the mean of the sample medians does not equal the population mediant O D. The sample medians target the population median, so sample medians are unbiased estimators, because the mean at the sample medians equals the population median