c. Compare the population range to the mean of the sample ranges. d. Do the samp

Question

c. Compare the population range to the mean of the sample ranges.

d. Do the sample ranges target the value of the population range? In general, do sample ranges make good estimators of population ranges? Why or why not?

The ages (years) of three government officials when they died in office were 56, 46, and 60. Complete parts (a) through (d). a. Assuming that 2 of the ages are randomly selected with replacement, list the different possible samples. OA. (56,46),(56,60),(46,56),(46,60),(60,56),(60,46) B. (56,56), (56,46),(56,60),(46,56),(46,46),(46,60),(60,56),(60,46),(60,60) O C. (56,56), (56,46),(56,60),(46,46),(46,60),(60,60) D. (56,46)(56,60)(46,60) 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 46 Type an integer or a fraction.)

Explanation / Answer

from above:

c) sample range =56/9 =6.22

and population range =60-46=14

d)No as range is unbiased estimator  

range probability 0 1/3 4 2/9 10 2/9 14 2/9

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