Assume a population of 47, 53, 56, and 60. 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 (c). 47,47 47,53 47,56 47,60 53.47 53,53 53,56 56,47 53.60 56.53 56,56 56,60 60.47 50,53 60,56 60,60 a. Find the median of each of the sixteen samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order o the sample medians. Sample Median Probability Sample Median Probability A A A (Type integers or simplified fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. O A. The population median is equal to half of 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 not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). Time Remaining: 02:43:24 Ne Statcrunch 9:0 N 320 F ~ 0 ( ) 1/29 O Type here to search DELL Delete Insert F11 F12 Prtser F9 F10 :O': F8 F6 F7 F5 Bac F4 F3 F2 ESC O O 8 a 5 3 P47,47 47,53 Assume a population of 47, 53, 56, and 60. 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 (c). 47,56 47,60 56,47 56,53 53,47 53,53 56,56 53,56 53,60 56,60 60,47 60.53 60,56 60,60 Type integers or simplified fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. O A. The population median is equal to half of the mean of the sample medians. O B. The population median is equal to double the mean of the sample medians. C. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). O D. The population median is equal 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 unbiased estimators of population medians? Why or why not? O A. 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 median. O B. The sample medians target the population median, so sample medians are unbiased 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 unbiased estimators, because the mean of the sample medians does not equal the population median. D. The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median. Time Remaining: 02:43:15 Next Statcrunch 9:06 PM N 320 F ~ 0 ( 1/29/2022 O Type here to search DELL Insert Delete F12 PrtSer F9 F10 F11 F8 F6 F7 F5 F2 F3 F4 144 O