copyright © 2013 pearson education. all rights reserved. chapter 4 sampling distributions and data...

Chapter 4

Sampling Distributions and Data Descriptions

Section 4.1

Random Sampling

Definition 4.1

Definition 4.2

Definition 4.3

Section 4.2

Some Important Statistics

Definition 4.4

Theorem 4.1

Section 4.3

Sampling Distributions

Definition 4.5

Section 4.4

Sampling Distribution of Means and the Central Limit Theorem

Theorem 4.2

Figure 4.1 Illustration of the Central Limit Theorem (distribution of X for n = 1, moderate n, and large n)

Figure 4.2 Area for Example 4.4

Figure 4.3 Area for Case Study 4.1

Figure 4.4 Area for Example 4.5

Theorem 4.3

Figure 4.5 Area for Case Study 4.2

Section 4.5

Sampling Distribution of S2

Theorem 4.4

Figure 4.6 The chi-squared distribution

Section 4.6

t-Distribution

Theorem 4.5

Corollary 4.1

Figure 4.7 The t-distribution curves for v = 2, 5, and

Figure 4.8 Symmetry property (about 0) of the t-distribution

Figure 4.9 The t-values for Example 4.9

Section 4.7

F-Distribution

Theorem 4.6

Figure 4.10 Typical F-distributions

Figure 4.11 Illustration of the f for the F-distribution

Theorem 4.7

Theorem 4.8

Section 4.8

Graphical Presentation

Table 4.1 Tensile strength

Figure 4.12 Scatter plot of tensile strength and cotton percentages

Table 4.2 Car Battery Life

Table 4.3 Stem-and-Leaf Plot of Battery Life

Table 4.4 Double-Stem-and-Leaf Plot of Battery Life

Table 4.5 Relative Frequency Distribution of Battery Life

Figure 4.13 Relative frequency histogram

Figure 4.14 Estimating frequency distribution

Figure 4.15 Skewness of data

Table 4.6 Nicotine Data for Example 4.12

Figure 4.16 Box-and-whisker plot for Example 4.12

Figure 4.17 Stem-and-Leaf plot for the nicotine data

Section 4.9

Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

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