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Chapter 7 Inferences Based on a Single Sample

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Presentation on theme: "Chapter 7 Inferences Based on a Single Sample"— Presentation transcript:

1 Chapter 7 Inferences Based on a Single Sample
Estimation with Confidence Intervals

2 Identifying and Estimating the Target Parameter
7.1 Identifying and Estimating the Target Parameter

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

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

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

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

7 Confidence Interval for a Population Mean: Normal (z) Statistics
7.2 Confidence Interval for a Population Mean: Normal (z) Statistics

8 Figure 7.1 Sampling distribution of
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

9 Table 7.1 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

10 Figure 7.2 SAS printout with summary statistics and 95% confidence interval for data on 100 hospital stays Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

12 Figure 7.3 Confidence intervals for m: 10 samples
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

13 Figure 7.4 Locating za/2 on the standard normal curve
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

15 Figure 7. 5 The z value (z. 05) corresponding to an area equal to
Figure 7.5 The z value (z.05) corresponding to an area equal to .05 in the upper tail of the z-distribution Copyright © 2013 Pearson Education, Inc.. All rights reserved.

16 Table 7.2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

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

19 Figure 7.6 MINITAB printout with descriptive statistics and 90% confidence interval for Example 7.3
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

21 Confidence Interval for a Population Mean: t-Statistic
7.3 Confidence Interval for a Population Mean: t-Statistic

22 Figure 7.7 Standard normal (z) distribution and t-distributions
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

23 Table 7.3 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

24 Figure 7.8 The t.025 value in a t-distribution with 4 df, and the corresponding z.025 value
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

25 Table 7.4 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

26 Figure 7.9 SPSS confidence interval for mean blood pressure increase
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

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

29 Table 7.5 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

30 Figure 7.10 MINITAB printout with descriptive statistics and 99% confidence interval for Example 7.5
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

31 Figure 7.11 MINITAB stem-and-leaf display of data in Table 7.5
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

33 Table SIA7.1 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

34 Figure SIA7.1 MINITAB confidence interval for mean overpayment
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

35 Large-Sample Confidence Interval for a Population Proportion
7.4 Large-Sample Confidence Interval for a Population Proportion

36 Figure 7.12 Sampling distribution of
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

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

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

40 Table 7.6 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

41 Figure 7.13 MINITAB printout with 90% confidence interval for p
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

43 Figure SIA7.2 MINITAB confidence interval for coding error rate
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

44 Determining the Sample Size
7.5 Determining the Sample Size

45 Figure 7.14 Relationship between sample size and width of confidence interval: hospital-stay example
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

46 Figure 7.15 Specifying the sampling error SE as the half-width of a confidence interval
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

48 Figure 7.16 Specifying the sampling error SE of a confidence interval for a population proportion p
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

50 Figure 7.17 Specified reliability for estimate of fraction defective in Example 7.10
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

51 Confidence Interval for a Population Variance (Optional)
7.6 Confidence Interval for a Population Variance (Optional)

52 Figure 7.18 Several x2 Probability Distributions
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

54 Table 7.7 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

56 Figure 7.19 MINITAB descriptive statistics for fish weights, example 7.11
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

57 Figure 7.20 MINITAB histogram of fish weights, Example 7.11
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

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

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

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

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

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

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

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

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

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


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