AP Statistics Miscellaneous Name: ____________ Date: _____________ Chapter 10: Estimating with Confidence Learning Targets Here is a list of the most important skills that you should acquire from your study of this chapter. By the end of this chapter, You Will Be Able To: Lesson 10.1: A: B: C: D: E: Distinguish between a point estimate and an interval estimate. Construct a confidence interval. Interpret a confidence interval in the context of the problem. Interpret confidence level. State the three conditions (SIN) that need to be present in order to construct a valid confidence interval. Lesson 10.2: F: G: H: I: J: K: L: M: Confidence Intervals: The Basics A: Estimating a Population Mean B: Choosing a Sample Size C: Paired t-Procedures Given a sample mean, x , determine the standard error of x . List three important facts about the t distributions, including comparisons to the standard Normal curve. List the three conditions (SIN) that must be present before constructing a confidence interval for an unknown population mean, . Construct a one-sample t confidence interval for a population mean, , using the five-step PPCCI format. Determine the sample size necessary to construct a level C confidence interval for a population mean, , with a specified margin of error. Describe what is meant by matched pairs t procedures. Construct a level C t confidence interval for a set of matched-pairs data. Explain what is meant by a robust inference procedure and comment on the robustness of t procedures. Lesson 10.3: A: Estimating a Population Proportion B: Choosing a Sample Size N: Given a sample proportion, p , determine the standard error of p . O: List the three conditions (SIN) that must be present before constructing a confidence interval for an unknown population proportion, p. P: Construct a one-sample z confidence interval for a population proportion, p, using the five-step PPCCI format. Q: Explain what is meant by margin of error. R: Identify three ways to make the margin of error smaller when constructing a confidence interval. S: Determine the sample size necessary to construct a level C confidence interval for a population proportion, p, with a specified margin of error. Vocabulary Here is a list of the most important vocabulary that you should master. For each vocabulary term, define it in your words on an index card. Include a picture and/or diagram that you can associate with the term. Lesson 10.1: Lesson 10.2: Point estimate Interval estimate Level C Confidence Interval Margin of Error Student’s t distribution Degrees of freedom Standard Error of a Statistic Matched pairs design Robustness Homework Assignments Lesson 10.1A 10.1B 10.1C Review 10.1 10.3A 10.3B Review 10.3 10.2A (t-Interval) 10.2B (Robust t) 10.2C (Matched Pairs) Review Ch10 Pages Problems Read pp. 617-624 #1,2,3,4,5 Prob. pp. 624-626 Read pp. 626-632 #7,8,9,10,11 Prob. pp. 632-633 Read pp. 635-639 #14,15,16 Prob. pp. 637-638 Prob. pp. 640-641 #24,25,26 Read pp. 663-668 #45, 48, 49 Prob. pp. 669 Read pp. 669-672 #52, 55, 56 Prob. pp. 672-674 Read pp. 674-675 #57, 58, 62 Prob. pp. 675-677 Read pp. 642-648 #37, 39, 40, 42, 43 Prob. pp. 659-661 Read pp. 654-657 #28, 30, 31, 32 Prob. pp. 649-650 Read pp. 651-654 Prob. pp. 657-658 #33, 35, 36, Prob. pp. 659-661 38, 41, 44 Read pp. 677-679 #66, 70, 71, 72, 16 Prob. pp. 680-683 Show WORK GRAPH on Graph Paper #5 #1,4 #9,10,11 #7,8 #14,15,16 #24,25,26 #45, 48, 49 #52, 55, 56 #57, 58, 62 #39, 40, 42, 43 #30, 31, 32 #33, 35, 38, 41, 44 #66, 70, 71, 72, 16