Three randomly selected households are surveyed. The numbers of people in the ho
ID: 3152077 • Letter: T
Question
Three randomly selected households are surveyed. The numbers of people in the households are
2, 4, 12 Assume that samples of size
n equals=2 are randomly selected with replacement from the population of 2,4,and 12.
Listed below are the nine different samples. Complete parts (a) through (c).
Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.
s2
Probability
____
_____
___________
____________
(Type an integer or a fraction. Use ascending order of the sample variances.)
s2
Probability
____
_____
___________
____________
Explanation / Answer
Three randomly selected households are surveyed. The numbers of people in the households are
2, 4, 12 Assume that samples of size
n equals=2 are randomly selected with replacement from the population of 2,4,and 12.
Listed below are the nine different samples. Complete parts (a) through (c).
Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.
sample 1
sample2
Variance
2
2
0
2
4
2
2
12
50
4
2
2
4
4
0
4
12
32
12
2
50
12
4
32
12
12
0
Variance
frequency
Probabaility
0
3
0.3333
2
2
0.2222
32
2
0.2222
50
2
0.2222
sample 1
sample2
Variance
2
2
0
2
4
2
2
12
50
4
2
2
4
4
0
4
12
32
12
2
50
12
4
32
12
12
0
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