Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 7 Inferences Based on a Single Sample Estimation with Confidence Intervals.

Copyright © 2013 Pearson Education, Inc. All rights reserved

Chapter 7

Inferences Based on a Single Sample

Estimation with Confidence Intervals

Copyright © 2013 Pearson Education, Inc. All rights reserved

7.1

Identifying and Estimating the Target Parameter

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Definition

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Procedure

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Definition

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Definition

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7.2

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

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Figure 7.1 Sampling distribution of x

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Table 7.1

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Figure 7.2 SAS printout with summary statistics and 95% confidence interval for data on 100 hospital stays

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Definition

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Figure 7.3 Confidence intervals for : 10 samples

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Figure 7.4 Locating z/2 on the standard normal curve

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Definition

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Figure 7.5 The z value (z.05) corresponding to an area equal to .05 in the upper tail of the z-distribution

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Table 7.2

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Procedure

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Definition

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Figure 7.6 MINITAB printout with descriptive statistics and 90% confidence interval for Example 7.3

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Procedure

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7.3

Confidence Interval for a Population Mean: t-Statistic

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Figure 7.7 Standard normal (z) distribution and t-distributions

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Table 7.3

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Figure 7.8 The t.025 value in a t-distribution with 4 df, and the corresponding z.025 value

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Table 7.4

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Figure 7.9 SPSS confidence interval for mean blood pressure increase

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Procedure

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Definition

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Table 7.5

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Figure 7.10 MINITAB printout with descriptive statistics and 99% confidence interval for Example 7.5

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Figure 7.11 MINITAB stem-and-leaf display of data in Table 7.5

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Procedure

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Table SIA7.1

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Figure SIA7.1 MINITAB confidence interval for mean overpayment

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7.4

Large-Sample Confidence Interval for a Population Proportion

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Figure 7.12 Sampling distribution of p̂

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Procedure

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Procedure

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Definition

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Table 7.6

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Figure 7.13 MINITAB printout with 90% confidence interval for p

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Procedure

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Figure SIA7.2 MINITAB confidence interval for coding error rate

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7.5

Determining the Sample Size

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Figure 7.14 Relationship between sample size and width of confidence interval: hospital-stay example

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Figure 7.15 Specifying the sampling error SE as the half-width of a confidence interval

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Procedure

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Figure 7.16 Specifying the sampling error SE of a confidence interval for a population proportion p

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Procedure

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Figure 7.17 Specified reliability for estimate of fraction defective in Example 7.10

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Confidence Interval for a Population Variance (Optional)

7.6

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Figure 7.18 Several x2 Probability Distributions

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Procedure

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Table 7.7

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Definition

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Figure 7.19 MINITAB descriptive statistics for fish weights, example 7.11

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Figure 7.20 MINITAB histogram of fish weights, Example 7.11