population Height x P (x) x∙P(x) x2 x2 ∙ p(x) 54 inches 0.05 2.7 2916 145.8 58 inches 0.05 2.9 3364 168.2 60 inches 0.21 12.6 3600 756 61 inches 0.32 19.52 3721 1190.72 62 inches 0.11 6.82 3844 422.84 63 inches 0.05 3.15 3969 198.45 64 inches 0.05 3.2 4096 204.8 66 inches 0.05 3.3 4356 217.8 67 inches 0.11 7.37 4489 493.79 ∑ p(x)= 1 ∑ x∙P(x)= 61.56 ∑ x2 ∙ p(x) = 3798.4 sampling distribution of the sample Values frequency probability 1 62.5 1 1/35 2 62.75 1 1/35 3 63 2 2/35 4 63.25 3 3/35 5 63.5 4 4/35 6 63.75 4 4/35 7 64 5 5/35 8 64.25 4 4/35 9 64.5 4 4/35 10 64.75 3 3/35 11 65 2 2/35 12 65.25 1 1/35 13 65.5 1 1/35 Sum 35 1 activity: Compute for the mean (??̅) and standard deviation (??̅) of the sampling distribution of the sample means and compare these to the mean and standard deviation of the population.

population Height x P (x) x∙P(x) x2 x2 ∙ p(x) 54 inches 0.05 2.7 2916 145.8 58 inches 0.05 2.9 3364 168.2 60 inches 0.21 12.6 3600 756 61 inches 0.32 19.52 3721 1190.72 62 inches 0.11 6.82 3844 422.84 63 inches 0.05 3.15 3969 198.45 64 inches 0.05 3.2 4096 204.8 66 inches 0.05 3.3 4356 217.8 67 inches 0.11 7.37 4489 493.79 ∑ p(x)= 1 ∑ x∙P(x)= 61.56 ∑ x2 ∙ p(x) = 3798.4 sampling distribution of the sample Values frequency probability 1 62.5 1 1/35 2 62.75 1 1/35 3 63 2 2/35 4 63.25 3 3/35 5 63.5 4 4/35 6 63.75 4 4/35 7 64 5 5/35 8 64.25 4 4/35 9 64.5 4 4/35 10 64.75 3 3/35 11 65 2 2/35 12 65.25 1 1/35 13 65.5 1 1/35 Sum 35 1 activity: Compute for the mean (??̅) and standard deviation (??̅) of the sampling distribution of the sample means and compare these to the mean and standard deviation of the population.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 33E

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Height x	P (x)	x∙P(x)	x2	x2 ∙ p(x)
54 inches	0.05	2.7	2916	145.8
58 inches	0.05	2.9	3364	168.2
60 inches	0.21	12.6	3600	756
61 inches	0.32	19.52	3721	1190.72
62 inches	0.11	6.82	3844	422.84
63 inches	0.05	3.15	3969	198.45
64 inches	0.05	3.2	4096	204.8
66 inches	0.05	3.3	4356	217.8
67 inches	0.11	7.37	4489	493.79
	∑ p(x)= 1	∑ x∙P(x)= 61.56		∑ x2 ∙ p(x) = 3798.4

	Values	frequency	probability
1	62.5	1	1/35
2	62.75	1	1/35
3	63	2	2/35
4	63.25	3	3/35
5	63.5	4	4/35
6	63.75	4	4/35
7	64	5	5/35
8	64.25	4	4/35
9	64.5	4	4/35
10	64.75	3	3/35
11	65	2	2/35
12	65.25	1	1/35
13	65.5	1	1/35
Sum		35	1