Compute the mean (ux) variance (a²x) and standard deviation (ax) of each sampling distribution. 1. When 100 independent samples are taken X 2 3 5 + f(x) 1/12 3/12 4/12 3/12 1/12

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Compute the mean (ux) variance (a²x) and standard deviation (ax) of each sampling distribution.
1. When 100 independent samples are taken
X
2
3
5
f(x)
1/12
3/12
4/12
3/12
1/12
2. When 4 independent samples are taken
X
0
1
2
3
4
f(x)
1/5
1/5
1/5
1/5
1/5
3. When 25 samples are drawn with replacement
Y
2
P(y)
1/2
1/6
4. When 64 samples are drawn with replacement
Z
3
5
7
9
for
F (2)
0.6
0.1
0.2
0.1
5. When 36 samples are drawn with replacement
r
10
20
F (1)
3/7
4/7
6. A random sample of size 30 taken from a population of 1000 with =20 and g²=9.
7. A random sample of size 80 taken from a population of 10000 with μ-46.5 and g²=16.
8. A random sample of size 45 taken from a population of 900, with μ=18.25 and ²=81.
9. A random sample of size 64 taken from a population of 1200 whose μ = 72.12 and σ= 12.
10. A random sample of size 36 taken from a population of 3200 whose μ = 28.6 and a= 54.4.
3
1/3
Transcribed Image Text:Compute the mean (ux) variance (a²x) and standard deviation (ax) of each sampling distribution. 1. When 100 independent samples are taken X 2 3 5 f(x) 1/12 3/12 4/12 3/12 1/12 2. When 4 independent samples are taken X 0 1 2 3 4 f(x) 1/5 1/5 1/5 1/5 1/5 3. When 25 samples are drawn with replacement Y 2 P(y) 1/2 1/6 4. When 64 samples are drawn with replacement Z 3 5 7 9 for F (2) 0.6 0.1 0.2 0.1 5. When 36 samples are drawn with replacement r 10 20 F (1) 3/7 4/7 6. A random sample of size 30 taken from a population of 1000 with =20 and g²=9. 7. A random sample of size 80 taken from a population of 10000 with μ-46.5 and g²=16. 8. A random sample of size 45 taken from a population of 900, with μ=18.25 and ²=81. 9. A random sample of size 64 taken from a population of 1200 whose μ = 72.12 and σ= 12. 10. A random sample of size 36 taken from a population of 3200 whose μ = 28.6 and a= 54.4. 3 1/3
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