Chapter 6.1（课件）- 《统计学基础（英文版）》同步教学（人民大学版）

Chapter Confidence Intervals 6 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 1 Larson/Farber 6th ed Chapter 1 Chapter Outline 6.1 Confidence Intervals for the Mean ( Known) 6.2 Confidence Intervals for the Mean ( Unknown) 6.3 Confidence Intervals for Population Proportions 6.4 Confidence Intervals for Variance and Standard Deviation . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 6.1 Confidence Intervals for the Mean ( Known) . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 6.1 Objectives How to find a point estimate and a margin of error How to construct and interpret confidence intervals for the population mean when is known How to determine the minimum sample size required when estimating a population mean . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Point Estimate for Population μ Point Estimate A single value estimate for a population parameter The most unbiased point estimate of the population mean μ is the sample mean Estimate Population Parameter… with Sample Statistic Mean: μ . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 5 Example: Point Estimate for Population μ A researcher is collecting data about a college athletic conference and its student-athletes. A random sample of 40 student-athletes is selected and their numbers of hours spent on required athletic activities for one week are recorded. Find a point estimate for the population mean m, the mean number of hours spent on required athletic activities by all student-athletes in the conference. (Adapted from Penn Schoen Berland) . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 6 Solution: Point Estimate for Population μ The sample mean of the data is The point estimate for the mean number of hours spent on required athletic activities by all student-athletes in the conference is about 21.1 hours. . = = 21.1 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 7 Interval Estimate Interval estimate An interv