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

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

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

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

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

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

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

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

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

10. 8 - 10 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

11. 8 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

12. 8 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.3 Location of test statistic when = 2,430

13. 8 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.1

14. 8 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

15. 8 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

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

17. 8 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

18. 8 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

19. 8 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

20. 8 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.4 Rejection regions corresponding to one- and two tailed tests

21. 8 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.2

22. 8 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.5 Two-tailed rejection region:  =.01

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

24. 8 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

25. 8 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

26. 8 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

27. 8 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.3

28. 8 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.6 MINITAB descriptive statistics for fill amounts, Example 8.4

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

30. 8 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

31. 8 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.7 Finding the p-value for an upper- tailed test when z = 2.12

32. 8 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

33. 8 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.8 Finding the p-value for an one- tailed test

34. 8 - 34 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)

35. 8 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.10 SAS test of mean response time, Example 8.5

36. 8 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

37. 8 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.4

38. 8 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.11 MINITAB lower-tailed test of mean LOS, Example 8.6

39. 8 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

40. 8 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA8.1 MINITAB test of  = 60 for KLEENEX survey

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

42. 8 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.12 Two-tailed rejection region for small-sample t-test

43. 8 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

44. 8 - 44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

45. 8 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.5

46. 8 - 46 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

47. 8 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.14 MINITAB analysis of 10 emission levels, Example 8.7

48. 8 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.15 The observed significance level for the test of Example 8.7

49. 8 - 49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

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

51. 8 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.16 Rejection region for breast cancer example

52. 8 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

53. 8 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

54. 8 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.17 Rejection region for Example 8.9

55. 8 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.18 The observed significance level for Example 8.10

56. 8 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.19 MINITAB lower-tailed test of p, Example 8.10

57. 8 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA8.2 MINITAB test of p =.5 for KLEENEX survey

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

59. 8 - 59 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.20 Values of  and  for various values of 

60. 8 - 60 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

61. 8 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure (cont’d)

62. 8 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

63. 8 - 63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure (cont’d)

64. 8 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

65. 8 - 65 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.21 Calculation of  for drug- injected rate (Example 8.11)

66. 8 - 66 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.22 MINITAB power analysis for Example 8.11

67. 8 - 67 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.23 Relationship between , , and n

68. 8 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

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

70. 8 - 70 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 8.6

71. 8 - 71 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.24 Rejection region for Example 8.12

72. 8 - 72 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 8.25 SAS test of fill amount variance, Example 8.12

73. 8 - 73 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

74. 8 - 74 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition