1 Chapter 8 Fundamental Sampling Distributions and Data Descriptions

2 Section 8.1 Random Sampling

3 Definition 8.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

4 Definition 8.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

5 Definition 8.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

6 Section 8.2 Some Important Statistics

7 Definition 8.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

8 Theorem 8.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

9 Section 8.3 Sampling Distributions

10 Definition 8.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

11 Section 8.4 Sampling Distribution of Means and the Central Limit Theorem

12 Theorem 8.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

13 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.

14 Figure 8.2 Area for Example 8.4Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

15 Figure 8.3 Area for Case Study 8.1Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

16 Figure 8.4 Area for Example 8.5Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

17 Theorem 8.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

18 Figure 8.5 Area for Case Study 8.2Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

19 Figure 8.6 Area for Example 8.6Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

20 Section 8.5 Sampling Distribution of S2

21 Theorem 8.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

22 Figure 8.7 The chi-squared distributionCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

23 Section 8.6 t-Distribution

24 Theorem 8.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

25 Corollary 8.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

26 Figure 8.8 The t-distribution curves for v = 2, 5, andCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

27 Figure 8.9 Symmetry property (about 0) of the t-distributionCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

28 Figure 8.10 The t-values for Example 8.10Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

29 Section 8.7 F-Distribution

30 Theorem 8.6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

31 Figure 8.11 Typical F-distributionsCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

32 Figure 8.12 Illustration of the fa for the F-distributionCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

33 Theorem 8.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

34 Theorem 8.8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

35 Figure 8.13 Data from three distinct samplesCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

36 Figure 8.14 Data that easily could have come from the same populationCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

37 Section 8.8 Quantile and Probability Plots

38 Definition 8.6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

39 Figure 8.15 Quantile plot for paint dataCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

40 Definition 8.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

41 Figure 8.16 Normal quantile-quantile plot for paint dataCopyright © 2010 Pearson Addison-Wesley. All rights reserved.

42 Table 8.1 Data for Example 8.12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

43 Figure 8.17 Normal quantile-quantile plot for density data of Example 8.12Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

44 Section 8.9 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters