The ages (years) of three government officials when they died in office were 56,

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 below

Explanation / 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

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