Chapter 8

Fundamental Sampling Distributions and Data Descriptions Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 8.1

Random Sampling Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 8.1

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Definition 8.2

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Definition 8.3

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Section 8.2

Some Important Statistics Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 8.4

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Theorem 8.1

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Section 8.3

Sampling Distributions Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 8.5

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Section 8.4

Sampling Distribution of Means and the Central Limit Theorem Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 8.2

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Figure 8.1

Illustration of the Central

_

Limit Theorem (distribution of

X

for

n

= 1, moderate

n

, and large

n

) Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.2

Area for Example 8.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.3

Area for Case Study 8.1

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Figure 8.4

Area for Example 8.5

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Theorem 8.3

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Figure 8.5

8.2

Area for Case Study Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.6

Area for Example 8.6

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Section 8.5

Sampling Distribution of

S

2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 8.4

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Figure 8.7

distribution The chi-squared Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Section 8.6

t

-Distribution Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 8.5

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Corollary 8.1

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Figure 8.8

curves for

v

The

t

-distribution = 2, 5, and  Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.9

Symmetry property (about 0) of the

t

-distribution Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.10

Example 8.10

The

t

-values for Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Section 8.7

F

-Distribution Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 8.6

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Figure 8.11

Typical

F

-distributions Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.12

Illustration of the

f

a the

F

-distribution for Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Theorem 8.7

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Theorem 8.8

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Figure 8.13

Data from three distinct samples Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Figure 8.14

Data that easily could have come from the same population Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Section 8.8

Quantile and Probability Plots Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 8.6

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Figure 8.15

data Quantile plot for paint Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Definition 8.7

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Figure 8.16

Normal quantile quantile plot for paint data Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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Table 8.1

Data for Example 8.12

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Figure 8.17

Normal quantile-quantile plot for density data of Example 8.12

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