Mr. Rogers - AP Statistics Objectives

Syllabus	1st Quarter	2nd Quarter	3rd Quarter	4th Quarter
11 t-Test	12 Inf for Prop	13 Chi Test	14 Regession HT

Unit Plan Practice Test
Latin/Greek Root Words arch--------->ancient, example: archtype;         chrono------>time, example: chronology;             -dom----------->quantity/state, example: freedom               fer-------->carry, example: transfer;               gen--------->birth, example: generate;                 luc-------->light, example lucid;                 neo--------->new, example: neonatologist;                olig--------->few, example: oligarchy;              omni--------->all, omniscient;            sym--------->together, symbol; (Statistics connection)
AP Statistics Standards IV. Statistical Inference: Confirming models A. Confidence intervals IV. Statistical Inference: Confirming models (continued) B. Tests of significance C. Special case of normally distributed data  t-distribution Single sample t procedures Two sample (independent and matched pairs) t procedures
Objectives Essential Question: How can we account for the greater uncertainty of analyzing data when sample size is small and little is known about the population? Ch 11 State the 2 assumptions for drawing inferences about a population mean when sigma is not known. SRS Normal Distribution of the population Calculate standard error (standard deviation of the sampling distr. = s/(n^.5) for a sample. Explain when a t statistic is used rather than a z score. Calculate t statistics. State the degrees of freedom for a t test. Construct confidence intervals using the t statistic. Perform one sample t-procedures: by hand (using the calculator only for basic mathematics) using t-tables. by hand, using the calculator only for basic mathematics and finding areas using the hypothesis testing features of the TI-83 using Minitab software   Homefun: 11.7, 11.9,  -- Read section	Activities Lesson 1 Key Concept:  How is t-Distribution used? Warm up: What conditions must be met to use a z-test? Interactive Discussion: Objectives. What conditions must be met to use a t-test and how does this differ from a z-test? Assuming a t-test is called for, what kinds of tests should be performed before using a t-test?
Essential Question: What is the single most powerful form of hypothesis testing and why ? Ch 11 Apply the t-test of significance to matched pairs situations. Explain what is meant by a robust test or confidence interval. (p-value  or confidence interval changes little if assumptions violated.) Be as one with the information in the "using t procedures" box on p.606. Be aware that outliers are very harmful to the t-test.   Homefun:  11.13, 11.17, 11.21, 11.26	Lesson 2 Key Concept: How are Matched Pairs t-test used. Warm up questions (individuals): What two assumptions must be met to use a t-test? How do you know you have normally distributed data? What step must you take before using a t-test of any kind? Interactive Discussion: Set up confidence intervals and hypothesis tests for matched pairs. Problem Solving (Teams of two): Make a hypothesis test with matched pairs for a pre and post test situation--Spanish Camp
Essential Question: How can you determine if 2 populations differ if at the start you have no information? Ch 11 State the assumptions made for two sample tests. (p. 619) normally distributed independent Create confidence intervals and hypothesis test using two sample t procedures assuming that the sigmas of the two populations are unequal. This is the most conservative assumption. Create confidence intervals and hypothesis test using two sample t procedures and the most conservative method of determining df. (the lower of n1 -1 or n2 - 1) Be aware of the more accurate way to calculate df as shown on page 633. Perform two sample hypothesis t-procedures on the TI-83. State the key assumption required for using the pooled two-sample t-procedures. The sigmas of the two populations are the same Homefun 11.33, 11.35, 11.37, 11.49:	Lesson 3 Essential Question:  How are two sample t-procedures -- no assumption made about the standard deviation being equal(p.624)--used?     Warm up questions (Individual): What two types of tools are used for inference? What type of distribution is used for making inferences? Interactive Discussion: Set up a hypothesis test for two samples and point out how it differs from Z-test   Problem Solving (Teams of two): Make a hypothesis test with 2 sample and matched pairs for a pre and post test situation--return to the Spanish Camp data.