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Chapter 1 A Review of Basic Concepts (Optional) Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 1.1 Statistics and Data Copyright © 2012 Pearson Education, Inc. All rights reserved. Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 3 Section 1.2 Populations, Samples, and Random Sampling Copyright © 2012 Pearson Education, Inc. All rights reserved. Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 5 Section 1.3 Describing Qualitative Data Copyright © 2012 Pearson Education, Inc. All rights reserved. Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 7 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 8 Figure 1.1 SAS bar graph for data on 22 aphasiacs Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 9 Figure 1.2 SPSS pie chart for data on 22 aphasiacs Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 10 Section 1.4 Describing Quantitative Data Graphically Copyright © 2012 Pearson Education, Inc. All rights reserved. Figure 1.3 Relative frequency distribution: IQs of identical twins Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 12 Figure 1.4 Probability distribution for a quantitative variable Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 13 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 14 Figure 1.5 MINITAB stem-and-leaf plot for EPA gas mileage Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 15 Figure 1.6 SPSS histogram for 100 EPA gas mileage Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 16 Section 1.5 Describing Quantitative Data Numerically Copyright © 2012 Pearson Education, Inc. All rights reserved. Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 18 Figure 1.7 MINITAB printout: Describing the no-show data, Example 1.6 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 19 Section 1.6 Normal Probability Distribution Copyright © 2012 Pearson Education, Inc. All rights reserved. Figure 1.8 A normal probability distribution Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 21 Figure 1.9 Several normal distributions with different means and standard deviations Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 22 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 23 Figure 1.10 Normal probability distribution m = 50, s = 15 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 24 Figure 1.11 A distribution of z scores (a standard normal distribution) Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 25 Figure 1.12 Standard normal distribution: m = 0, s = 1 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 26 Section 1.7 Sampling Distributions and the Central Limit Theorem Copyright © 2012 Pearson Education, Inc. All rights reserved. Figure 1.13 Sampling distributions for _ y based on a sample of n = 25 measurements Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 28 Figure 1.14 Sampling distributions of _ x for different populations and different sample sizes Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 29 Figure 1.15 A population relative frequency distribution and the sampling _ distribution for y Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 30 Figure 1.16 The sampling _ distribution of y Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 31 Section 1.8 Estimating a Population Mean Copyright © 2012 Pearson Education, Inc. All rights reserved. Figure 1.17 Sampling distribution _ of y Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 33 Figure 1.18 Locating za/2 on the standard normal curve Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 34 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 35 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 36 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 37 Figure 1.19 SAS descriptive statistics for n = 50 sample attention times Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 38 Figure 1.20 The t.025 value in a t distribution with 4 df and the corresponding z.025 value Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 39 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 40 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 41 Figure 1.21 MINITAB descriptive statistics and confidence interval for Example 1.12 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 42 Section 1.9 Testing a Hypothesis About a Population Mean Copyright © 2012 Pearson Education, Inc. All rights reserved. Figure 1.22 The sampling _ distribution of y for m = m 0 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 44 Figure 1.23 Location of the rejection region for various alternative hypotheses Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 45 Figure 1.24 Testing Ha: m >m 0 using a p-value Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 46 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 47 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 48 Figure 1.25 SPSS printout for Example 1.14 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 49 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 50 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 51 Figure 1.26 Rejection region for Example 1.15 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 52 Figure 1.27 SAS output for testing benzene mean Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 53 Section 1.10 Inferences About the Difference Between Two Population Means Copyright © 2012 Pearson Education, Inc. All rights reserved. Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 55 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 56 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 57 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 58 Figure 1.28 SPSS analysis for diet study, Example 1.16 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 59 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 60 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 61 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 62 Figure 1.29 SAS output for Example 1.17 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 63 Figure 1.30 Rejection region for Example 1.17 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 64 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 65 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 66 Figure 1.31 Rejection region for analysis of data in Table 1.17 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 67 Figure 1.32 MINITAB paired difference analysis of data in Table 1.17 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 68 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 69 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 70 Section 1.11 Comparing Two Population Variances Copyright © 2012 Pearson Education, Inc. All rights reserved. Figure 1.33 An F distribution with 7 and 9 df Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 72 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 73 Figure 1.34 An F distribution with 7 and 9 df: a = .05 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 74 Figure 1.35 Rejection region for production example F distribution Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 75 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 76 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 77 Figure 1.36 SAS F-test for the data Table 1.19 Copyright © 2012 Pearson Education, Inc. All rights reserved. 1- 78