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Chapter 4 Sampling Distributions and Data Descriptions.

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Presentation on theme: "Chapter 4 Sampling Distributions and Data Descriptions."— Presentation transcript:

1 Chapter 4 Sampling Distributions and Data Descriptions

2 Section 4.1 Random Sampling

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

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

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

6 Section 4.2 Some Important Statistics

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

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

9 Section 4.3 Sampling Distributions

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

11 Section 4.4 Sampling Distribution of Means and the Central Limit Theorem

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

13 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.

14 Figure 4.2 Area for Example 4.4
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15 Figure 4.3 Area for Case Study 4.1
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16 Figure 4.4 Area for Example 4.5
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17 Copyright © 2013 Pearson Education. All rights reserved.
Theorem 4.3 Copyright © 2013 Pearson Education. All rights reserved.

18 Figure 4.5 Area for Case Study 4.2
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19 Section 4.5 Sampling Distribution of S2

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

21 Figure 4.6 The chi-squared distribution
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22 Section 4.6 t-Distribution

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

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

25 Figure 4.7 The t-distribution curves for v = 2, 5, and
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26 Figure 4.8 Symmetry property (about 0) of the t-distribution
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27 Figure 4.9 The t-values for Example 4.9
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28 Section 4.7 F-Distribution

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

30 Figure 4.10 Typical F-distributions
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31 Figure 4.11 Illustration of the fa for the F-distribution
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32 Copyright © 2013 Pearson Education. All rights reserved.
Theorem 4.7 Copyright © 2013 Pearson Education. All rights reserved.

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

34 Section 4.8 Graphical Presentation

35 Table 4.1 Tensile strength
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36 Figure 4.12 Scatter plot of tensile strength and cotton percentages
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37 Copyright © 2013 Pearson Education. All rights reserved.
Table 4.2 Car Battery Life Copyright © 2013 Pearson Education. All rights reserved.

38 Table 4.3 Stem-and-Leaf Plot of Battery Life
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39 Table 4.4 Double-Stem-and-Leaf Plot of Battery Life
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40 Table 4.5 Relative Frequency Distribution of Battery Life
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41 Figure 4.13 Relative frequency histogram
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42 Figure 4.14 Estimating frequency distribution
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43 Figure 4.15 Skewness of data
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44 Table 4.6 Nicotine Data for Example 4.12
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45 Figure 4.16 Box-and-whisker plot for Example 4.12
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46 Figure 4.17 Stem-and-Leaf plot for the nicotine data
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47 Section 4.9 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters


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