The ages (years) of three government officials when they died in office were 56,
ID: 3338661 • Letter: T
Question
The ages (years) of three government officials when they died in office were 56, 46, and 60. Complete parts (a) through () a. Assuming that 2 of the ages are randomly selected with replacement, list the difflerent possible samples O A. (56,56), (56,46),(56,60),(46,46),(46,60),(60,60) B. (56,46),(56,60),(46,56),(46.60)·(00,56),(60A6) O C. (56,46),(56,60),(46,60) O D. (56,56), (56,46)(56,60),(46,56),(46,46),(46,60),(60,56),(60,46),(60,60) b. Find the range of each of the samples, then summarize the sampling distribution of the ranges in the format of a table representing the probability distribution Sample Range Probability Type an integer or a fraction.) c. Compare the population range to the mean of the sample ranges Choose the correct answer belowExplanation / Answer
(a)
Following is the samples with replacement:
Correct option is D.
(b)Since each sample is equally likely so probability of each sample is 1/9.
Range = Mximum - minimum
Following table shows the same:
So sampling distribution will be
(C)
Population range: 60 -46 = 14
Correct option is C.
(d)
Correct option is D.
Sample 56 56 56 46 56 60 46 56 46 46 46 60 60 56 60 46 60 60