Chapter 7 Inferences Based on a Single Sample

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 Copyright © 2013 Pearson Education, Inc. All rights reserved

Definition 7 - 3 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 4 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 5 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 6 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

7. 2 Confidence Interval for a Population Mean: Normal (z) Statistics Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 7. 1 Sampling distribution of 7 - 8 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 7. 1 7 - 9 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 2 SAS printout with summary statistics and 95% confidence interval for data on 100 hospital stays 7 - 10 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 11 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 3 Confidence intervals for m: 10 samples 7 - 12 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 4 Locating za/2 on the standard normal curve 7 - 13 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 14 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

Table 7. 2 7 - 16 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 17 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 18 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 6 MINITAB printout with descriptive statistics and 90% confidence interval for Example 7. 3 7 - 19 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 20 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

7. 3 Confidence Interval for a Population Mean: t-Statistic Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 7. 7 Standard normal (z) distribution and t-distributions 7 - 22 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 7. 3 7 - 23 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 8 The t. 025 value in a t-distribution with 4 df, and the corresponding z. 025 value 7 - 24 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 7. 4 7 - 25 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 9 SPSS confidence interval for mean blood pressure increase 7 - 26 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 27 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 28 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 7. 5 7 - 29 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 10 MINITAB printout with descriptive statistics and 99% confidence interval for Example 7. 5 7 - 30 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 11 MINITAB stem-and-leaf display of data in Table 7. 5 7 - 31 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 32 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table SIA 7. 1 7 - 33 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure SIA 7. 1 MINITAB confidence interval for mean overpayment 7 - 34 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

7. 4 Large-Sample Confidence Interval for a Population Proportion Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 7. 12 Sampling distribution of 7 - 36 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 37 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 38 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 39 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 7. 6 7 - 40 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 13 MINITAB printout with 90% confidence interval for p 7 - 41 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 42 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure SIA 7. 2 MINITAB confidence interval for coding error rate 7 - 43 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

7. 5 Determining the Sample Size Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 7. 14 Relationship between sample size and width of confidence interval: hospital-stay example 7 - 45 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 15 Specifying the sampling error SE as the half-width of a confidence interval 7 - 46 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 47 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 16 Specifying the sampling error SE of a confidence interval for a population proportion p 7 - 48 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 49 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 17 Specified reliability for estimate of fraction defective in Example 7. 10 7 - 50 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

7. 6 Confidence Interval for a Population Variance (Optional) Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 7. 18 Several x 2 Probability Distributions 7 - 52 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Procedure 7 - 53 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 7. 7 7 - 54 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Definition 7 - 55 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 19 MINITAB descriptive statistics for fish weights, example 7. 11 7 - 56 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 7. 20 MINITAB histogram of fish weights, Example 7. 11 7 - 57 Copyright © 2013 Pearson Education, Inc. . All rights reserved.