Chapter 9: Sampling Distributions Outline AP Statistics Mrs. Harrison Essential Questions: 1. What is the difference between a parameter and a statistic? Why is this field of study called “Statistics”? 2. What does “sampling variability” mean and why is it an issue? 3. How is the size of a sample related to its variability? 4. Under what conditions is the sampling distribution of 𝑝̂ approximately normal? 5. Why is the Central Limit Theorem so important to statisticians? Knowledge: You should be able to define, illustrate, or calculate the following: Parameter Variability Statistic Unbiased statistic Sampling variability 𝑝̂ Central Limit Theorem Sampling distribution Bias Skills: You should be able to… Distinguish between statistics and parameters Describe bias and variability of statistics Tell what makes a statistic unbiased Explain how sample size affects variability Be able to recognize and use formulas for mean and standard deviation of the sampling distributions for sample means and sample proportions State when the sampling distribution of a sample proportion will be approximately normal Know the Central Limit Theorem and its applications Use a normal distribution to find probabilities associated with a sampling distribution Describe sampling distributions according to their shape, center, and spread Calendar: Monday 19 Tuesday 20 Wednesday 21/22 Friday 23 9.1 Sampling Distributions 26 2 27 9.2 Sampling distribution of 𝑝̂ Sample Proportions Practice WKST 3 Chapter 9 Quiz Chapter 9 Review Finish 9.1 Practice Problems 28/29 30 9.3 Sampling distribution of 𝑥̅ Penny Lab 4/5 Review for 15 minutes Chapter 9 Test 6