Chapter 7 Inferences Based on a Single Sample

Slides:

Advertisements

Similar presentations

Chapter 5 One- and Two-Sample Estimation Problems.

Advertisements

Sampling: Final and Initial Sample Size Determination

Sta220 - Statistics Mr. Smith Room 310 Class #16.

Chap 8-1 Statistics for Business and Economics, 6e © 2007 Pearson Education, Inc. Chapter 8 Estimation: Single Population Statistics for Business and Economics.

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 7.5 Estimation of a Population Variance This section presents methods.

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 7.3 Estimating a Population mean µ (σ known) Objective Find the confidence.

1 A heart fills with loving kindness is a likeable person indeed.

Chapter 9 Hypothesis Testing.

Copyright (c) 2004 Brooks/Cole, a division of Thomson Learning, Inc. Chapter 7 Statistical Intervals Based on a Single Sample.

Chapter 7 Estimation: Single Population

Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 3 Simple Linear Regression.

McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Confidence Intervals Chapter 7.

Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 6 Sampling Distributions.

Sta220 - Statistics Mr. Smith Room 310 Class #17.

1 Chapter 6. Section 6-1 and 6-2. Triola, Elementary Statistics, Eighth Edition. Copyright Addison Wesley Longman M ARIO F. T RIOLA E IGHTH E DITION.

10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Estimating a Population Mean: σ Known 7-3, pg 355.

Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 10 Analysis of Variance Comparing More than Two Means.

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

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 1 Introduction to Statistics and Data Analysis.

1 10 Statistical Inference for Two Samples 10-1 Inference on the Difference in Means of Two Normal Distributions, Variances Known Hypothesis tests.

Determination of Sample Size: A Review of Statistical Theory

OPENING QUESTIONS 1.What key concepts and symbols are pertinent to sampling? 2.How are the sampling distribution, statistical inference, and standard.

Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 13 Categorical Data Analysis.

Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Chapter 8 Confidence Intervals.

Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 7-5 Estimating a Population Variance.

Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 14 Nonparametric Statistics.

Statistics for Business and Economics 8 th Edition Chapter 7 Estimation: Single Population Copyright © 2013 Pearson Education, Inc. Publishing as Prentice.

Copyright © 1998, Triola, Elementary Statistics Addison Wesley Longman 1 Estimates and Sample Sizes Chapter 6 M A R I O F. T R I O L A Copyright © 1998,

Confidence Intervals Population Mean σ 2 Unknown Confidence Intervals Population Proportion σ 2 Known Copyright © 2013 Pearson Education, Inc. Publishing.

Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 12 Multiple Regression and Model Building.

Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 4 Multiple Regression Models.

Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 9 Inferences Based on Two Samples Confidence Intervals and Tests of Hypotheses.

Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 5 Continuous Random Variables.

Statistics for Business and Economics 8 th Edition Chapter 7 Estimation: Single Population Copyright © 2013 Pearson Education, Inc. Publishing as Prentice.

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 9 One- and Two-Sample Estimation Problems.

Point Estimates point estimate A point estimate is a single number determined from a sample that is used to estimate the corresponding population parameter.

Week 7 Chapter 6 - Introduction to Inferential Statistics: Sampling and the Sampling Distribution & Chapter 7 – Estimation Procedures.

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

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 7.4: Estimation of a population mean   is not known  This section.

ESTIMATION OF THE MEAN. 2 INTRO :: ESTIMATION Definition The assignment of plausible value(s) to a population parameter based on a value of a sample statistic.

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 9 One- and Two-Sample Estimation Problems.

ESTIMATION OF THE MEAN. 2 INTRO :: ESTIMATION Definition The assignment of plausible value(s) to a population parameter based on a value of a sample statistic.

Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Chapter Estimating the Value of a Parameter 9.

Section Copyright © 2014, 2012, 2010 Pearson Education, Inc. Lecture Slides Elementary Statistics Twelfth Edition and the Triola Statistics Series.

6-1 Copyright © 2014, 2011, and 2008 Pearson Education, Inc.

Chapter Confidence Intervals 1 of 31 6  2012 Pearson Education, Inc. All rights reserved.

Chapter 8 Confidence Intervals Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin.

Statistics for Business and Economics 7 th Edition Chapter 7 Estimation: Single Population Copyright © 2010 Pearson Education, Inc. Publishing as Prentice.

Sampling Distributions

Statistical Inferences for Population Variances

Chapter 6 Inferences Based on a Single Sample: Estimation with Confidence Intervals Slides for Optional Sections Section 7.5 Finite Population Correction.

Continuous Random Variables

Chapter 1 A Review of Basic Concepts (Optional).

Chapter 1 Introduction to Statistics and Data Analysis.

Elementary Statistics

Case Study 4 An Analysis of Rain Levels in California.

Chapter 9 One- and Two-Sample Estimation Problems.

Chapter 7 Estimation: Single Population

Inferences for Population Proportions

Chapter 6 Confidence Intervals.

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

Chapter Eight Estimation.

Summary of Tests Confidence Limits

Chapter 7: Introduction to Sampling Distributions

Elementary Statistics: Picturing The World

ESTIMATION OF THE MEAN AND PROPORTION

Chapter 6 Confidence Intervals.

Chapter 7 Estimation: Single Population

Presentation transcript:

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

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

Definition 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.

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

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

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

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

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

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

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

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.

Table 7.2 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 7.6 MINITAB printout with descriptive statistics and 90% confidence interval for Example 7.3 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

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

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

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

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

Figure 7.9 SPSS confidence interval for mean blood pressure increase 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 7.5 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

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

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

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

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

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

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

Figure 7.12 Sampling distribution of 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.

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

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

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

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

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

Determining the Sample Size 7.5 Determining the Sample Size

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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