Population: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), Elise (age 5).
Is the sample minimum a biased or unbiased estimator of the population minimum?
Sample
n = 2
Ages
Sample
minimum
A, B
15, 10
10
A, C
15,9
9
A, D
15,7
7
A, E
15,5
5
B, C B, D
10,9 10,7
B, E
10, 5
Finish the table by determining each sample minimum.
What is the mean of the sampling distribution of these sample minimums?
What is the minimum value of the population?
Is the sample minimum an unbiased estimator of the population minimum?
C, D
9,7
C, E
9,5
D, E
7,5