C. A population consists of five numbers 1, 2, 3, 4, and 5. Consider samples of size 3 that can be drawn from this population. a. List all the possible samples and the corresponding mean SAMPLE MEAN 2 3 4 1.

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C. A population consists of five numbers 1, 2, 3, 4, and 5. Consider
samples of size 3 that can be drawn from this population.
a. List all the possible samples and the corresponding mean
SAMPLE
MEAN
1
2
4
5
6
7
8
9
10
b. Construct the sampling distribution of the sample means find the mean
Sampling Distribution of Sample Means
Sample Mean
(X)
Probability
P(X)
Frequency
X• P(X)
1
2
3
4
Hx = EX • P(X) =
6.
So, the mean of the sampling
distribution of the sample means is
7
9
10
c. Find the variance of the sampling distribution of the sample means
P(X) X-u (X -µ)²
P(X) • (X - 4)?
1
2
3
(o?2) = EP(X) • (X – )°
%3D
6.
8
So, the variance of the
9.
sampling distribution is
10
Transcribed Image Text:C. A population consists of five numbers 1, 2, 3, 4, and 5. Consider samples of size 3 that can be drawn from this population. a. List all the possible samples and the corresponding mean SAMPLE MEAN 1 2 4 5 6 7 8 9 10 b. Construct the sampling distribution of the sample means find the mean Sampling Distribution of Sample Means Sample Mean (X) Probability P(X) Frequency X• P(X) 1 2 3 4 Hx = EX • P(X) = 6. So, the mean of the sampling distribution of the sample means is 7 9 10 c. Find the variance of the sampling distribution of the sample means P(X) X-u (X -µ)² P(X) • (X - 4)? 1 2 3 (o?2) = EP(X) • (X – )° %3D 6. 8 So, the variance of the 9. sampling distribution is 10
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