The assets (in billions of dollars) of the four wealthiest people in a particula
ID: 3178635 • Letter: T
Question
The assets (in billions of dollars) of the four wealthiest people in a particular country are
38 comma 25 comma 22 comma 1438, 25, 22, 14.
Assume that samples of size 2 are randomly selected with replacement from this population of four values.
a. After listing the possible samples and finding the mean of each sample, use a table to describe the sampling distribution of the sample means.
x overbarx
Probability
x overbarx
Probability
3838
nothing
23.523.5
nothing
31.531.5
nothing
2222
nothing
3030
nothing
19.519.5
nothing
2626
nothing
1818
nothing
2525
nothing
1414
nothing
(Type integers or fractions.)
b. Find the mean of the sampling distribution.
The mean of the sample means is
nothing.
(Round to two decimal places as needed.)
c. Is the mean of the sampling distribution [from part (b)] equal to the mean of the population of the four listed values? If so, are those means always equal?
A.
No, the mean of the sample means is not equal to the mean of the population. These means are not always equal, because the mean is an unbiased estimator.
B.
No, the mean of the sample means is not equal to the mean of the population. These means are not always equal, because the mean is a biased estimator.
C.
Yes, the mean of the sample means is equal to the mean of the population. These means are always equal, because the mean is a biased estimator.
D.
Yes, the mean of the sample means is equal to the mean of the population. These means are always equal, because the mean is an unbiased estimator.
Click to select your answer(s).
x overbarx
Probability
x overbarx
Probability
3838
nothing
23.523.5
nothing
31.531.5
nothing
2222
nothing
3030
nothing
19.519.5
nothing
2626
nothing
1818
nothing
2525
nothing
1414
nothing
Explanation / Answer
below is the table of samples
a)
b)mean of sampling distribution =24.75
c)Option D is correct
sample No sample1 sample2 mean 1 38 38 38 2 25 38 31.5 3 22 38 30 4 14 38 26 5 38 25 31.5 6 25 25 25 7 22 25 23.5 8 14 25 19.5 9 38 22 30 10 25 22 23.5 11 22 22 22 12 14 22 18 13 38 14 26 14 25 14 19.5 15 22 14 18 16 14 14 14 total 396 mean 24.75Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.