In: Statistics and Probability
The assets (in billions of dollars) of the four wealthiest
people in a particular country are 43, 25, 24, 11. Assume that
samples of size n=2 are randomly selected with replacement from
this population of four values.
a. After identifying the 16 different possible samples and finding
the mean of each sample, construct a table representing the
sampling distribution of the sample mean. In the table, values of
the sample mean that are the same have been combined.
x̅ Probability
43 ______
34 ______
33.5 ______
27 ______
25 ______
x̅ Probability
24.5 ______
24 ______
18. ______
17.5 ______
11 ______
b.Compare the mean of the population to the mean of the sampling
distribution of the sample mean.
The mean of the population____is___the mean of the same
means__.
hEY i HAVE USED EXCEL FOR THIS.
GENERATED RANDOM SAMPLES OF SIZE TWO USING FUNCTION RANDBETWEEN()
THIS IS SAMPLING DISTRIBUTION OF SAMPLE MEANS
SAMPLE NO. | MEAN |
1 | 24.5 |
2 | 11 |
3 | 34 |
4 | 33.5 |
5 | 34 |
6 | 24 |
7 | 24.5 |
8 | 24 |
9 | 17.5 |
10 | 18 |
11 | 24 |
12 | 33.5 |
13 | 34 |
14 | 11 |
15 | 34 |
16 | 18 |
AVERAGE | 24.96875 |
BELOW IS THE POPULATION MEAN
POPULATION VALUES | |
serial | value |
1 | 43 |
2 | 25 |
3 | 24 |
4 | 11 |
MEAN | 25.75 |