Question 16 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The range of the distribution of ages is 3. The table displays all possible samples of size 2 and the corresponding ranges for each sample.Using the values in the table, is the sample range an unbiased estimator?
Answer
A
Yes, 3 is the maximum of the sample ranges.
B
Yes, the range of the sampling distribution of the sample range is 3.
C
No, 80% of the possible values of the range of the samples is less than 3.
D
No, the mean of the sampling distribution of the sample ranges is 1.6, which is not 3.