Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 8 Inferences Based on a Single Sample Tests of Hypothesis.

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Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 8 Inferences Based on a Single Sample Tests of Hypothesis

Copyright © 2013 Pearson Education, Inc. All rights reserved 8.1 The Elements of a Test of Hypothesis

8 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.1 The sampling distribution of, Assuming  = 2,400

8 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.2 Location of the test statistic for a test of the hypothesis H 0 :  = 2,400

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.3 Location of test statistic when = 2,430

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.1

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc. All rights reserved 8.2 Formulating Hypotheses and Setting Up the Rejection Region

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.4 Rejection regions corresponding to one- and two tailed tests

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.2

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.5 Two-tailed rejection region:  =.01

Copyright © 2013 Pearson Education, Inc. All rights reserved 8.3 Test of Hypothesis about a Population Mean: Normal (z) Statistic

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.3

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.6 MINITAB descriptive statistics for fill amounts, Example 8.4

Copyright © 2013 Pearson Education, Inc. All rights reserved 8.4 Observed Significance Levels: p-Values

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.7 Finding the p-value for an upper- tailed test when z = 2.12

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.8 Finding the p-value for an one- tailed test

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.9 Finding the p-value for an two- tailed test; p-value = 2(p/2)

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.10 SAS test of mean response time, Example 8.5

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.4

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.11 MINITAB lower-tailed test of mean LOS, Example 8.6

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA8.1 MINITAB test of  = 60 for KLEENEX survey

Copyright © 2013 Pearson Education, Inc. All rights reserved 8.5 Test of Hypothesis about a Population Mean: Student’s t-Statistic

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.12 Two-tailed rejection region for small-sample t-test

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.5

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.13 A t-distribution with 9 df and the rejection region for Example 8.7

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.14 MINITAB analysis of 10 emission levels, Example 8.7

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.15 The observed significance level for the test of Example 8.7

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc. All rights reserved Large-Sample Test of Hypothesis about a Population Proportion 8.6

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.16 Rejection region for breast cancer example

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.17 Rejection region for Example 8.9

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.18 The observed significance level for Example 8.10

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.19 MINITAB lower-tailed test of p, Example 8.10

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA8.2 MINITAB test of p =.5 for KLEENEX survey

Copyright © 2013 Pearson Education, Inc. All rights reserved Calculating Type II Error Probabilities: More about  (Optional) 8.7

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.20 Values of  and  for various values of 

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure (cont’d)

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure (cont’d)

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.21 Calculation of  for drug- injected rate (Example 8.11)

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.22 MINITAB power analysis for Example 8.11

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.23 Relationship between , , and n

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc. All rights reserved Test of Hypothesis about a Population Variance (Optional) 8.8

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.6

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.24 Rejection region for Example 8.12

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.25 SAS test of fill amount variance, Example 8.12

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition