Assume a population of 44, 48, 50, and 55\' Assume that samples of size n = 2 ar

Question

Assume a population of 44, 48, 50, and 55' 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) 44,44 50,44 44,48 50,48 44,50 50,50 44,55 50,55 48,44 55,44 48,48 55,48 48,50 55,50 48,55 55,55 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 of the sample medians Sample Median Probability Sample Median Probability (Type integers or simplified fractions. Use ascending order of the sample medians.)

Explanation / Answer

from above as there are 16 samples hence each outcome has probability =1/16

merging up same median values probability ; below is summarized and final table for median as asked:

sample sample median probability 44,44 44.00 1/16 44,48 46.00 1/16 44,50 47.00 1/16 44,55 49.50 1/16 48,44 46.00 1/16 48,48 48.00 1/16 48,50 49.00 1/16 48,55 51.50 1/16 50,44 47.00 1/16 50,48 49.00 1/16 50,50 50.00 1/16 50,55 52.50 1/16 55,44 49.50 1/16 55,48 51.50 1/16 55,50 52.50 1/16 55,55 55.00 1/16

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