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.
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 put 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 ($5$), hence sample medians do not target the
value of the population median.
