Chapter 4 Sampling Distributions and Data Descriptions.

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Presentation transcript:

Chapter 4 Sampling Distributions and Data Descriptions

Section 4.1 Random Sampling

Copyright © 2013 Pearson Education. All rights reserved. Definition 4.1 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Definition 4.2 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Definition 4.3 Copyright © 2013 Pearson Education. All rights reserved.

Section 4.2 Some Important Statistics

Copyright © 2013 Pearson Education. All rights reserved. Definition 4.4 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.1 Copyright © 2013 Pearson Education. All rights reserved.

Section 4.3 Sampling Distributions

Copyright © 2013 Pearson Education. All rights reserved. Definition 4.5 Copyright © 2013 Pearson Education. All rights reserved.

Section 4.4 Sampling Distribution of Means and the Central Limit Theorem

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.2 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Figure 4.1 Illustration of the Central Limit Theorem (distribution of X for n = 1, moderate n, and large n) _ Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.2 Area for Example 4.4 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.3 Area for Case Study 4.1 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.4 Area for Example 4.5 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.3 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.5 Area for Case Study 4.2 Copyright © 2013 Pearson Education. All rights reserved.

Section 4.5 Sampling Distribution of S2

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.4 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.6 The chi-squared distribution Copyright © 2013 Pearson Education. All rights reserved.

Section 4.6 t-Distribution

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.5 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Corollary 4.1 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.7 The t-distribution curves for v = 2, 5, and Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.8 Symmetry property (about 0) of the t-distribution Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.9 The t-values for Example 4.9 Copyright © 2013 Pearson Education. All rights reserved.

Section 4.7 F-Distribution

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.6 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.10 Typical F-distributions Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.11 Illustration of the fa for the F-distribution Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.7 Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Theorem 4.8 Copyright © 2013 Pearson Education. All rights reserved.

Section 4.8 Graphical Presentation

Table 4.1 Tensile strength Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.12 Scatter plot of tensile strength and cotton percentages Copyright © 2013 Pearson Education. All rights reserved.

Copyright © 2013 Pearson Education. All rights reserved. Table 4.2 Car Battery Life Copyright © 2013 Pearson Education. All rights reserved.

Table 4.3 Stem-and-Leaf Plot of Battery Life Copyright © 2013 Pearson Education. All rights reserved.

Table 4.4 Double-Stem-and-Leaf Plot of Battery Life Copyright © 2013 Pearson Education. All rights reserved.

Table 4.5 Relative Frequency Distribution of Battery Life Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.13 Relative frequency histogram Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.14 Estimating frequency distribution Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.15 Skewness of data Copyright © 2013 Pearson Education. All rights reserved.

Table 4.6 Nicotine Data for Example 4.12 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.16 Box-and-whisker plot for Example 4.12 Copyright © 2013 Pearson Education. All rights reserved.

Figure 4.17 Stem-and-Leaf plot for the nicotine data Copyright © 2013 Pearson Education. All rights reserved.

Section 4.9 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters