Answer
A. 5
B. Sample Mean | Probability
4.0 | 1/9
4.5 | 2/9
5.0 | 1/9
6.5 | 2/9
7.0 | 2/9
9.0 | 1/9
C. 6.0
D. No. The mean of the sampling distribution of the sample
medians is 6.0, and it is not equal to the value of the population median (5), so the sample medians do not target the
value of the population median.
Work Step by Step
A. 5 is the sample mean that will be the midpoint for your population table {4.0, 4.5, 6.5, 4.5, 5.0, 7.0, 6.5, 7.0, 9.0}
B. You take all possible combinations of sample, sample mean, and probability from population and condense it into a sample mean/probability table.
C. 4.0(1/9) + 4.5(2/9) + 5.0(1/9) + 6.5(2/9) + 7.0(2/9) + 9.0(1/9)
= 6.0
D. No. The mean of the sampling distribution of the sample
medians is 6.0, and it is not equal to the value of the popula-
tion median (5), so the sample medians do not target the
value of the population median.
