AP Statistics – Chapter 7 Sampling Distributions (Alabama) Day 1 2 Objectives: Students will be able to… Topics Introduction: German Tank Problem Section 7.1 Parameters and Statistics Section 7.1 Sampling Variability Describing Sampling Distributions I can distinguish between a parameter and a statistic. I can understand the definition of a sampling distribution. I can distinguish between population distribution, sampling distribution, and the distribution of sample data. I can determine whether a statistic is an unbiased estimator of a population parameter. I can understand the relationship between sample size and the variability of an estimator. I can find the mean and standard deviation of the sampling distribution of a sample proportion p̂ for 3 Section 7.2 The Sampling Distribution of p̂ , Using the Normal Approximation for p̂ Technology: Using an Applet to Simulate the distribution of p̂ . Homework an SRS of size n from a population having proportion p of successes. I can check whether the 10% and Normal conditions are met in a given setting. I can use Normal approximation to calculate probabilities involving p̂ . I can use the sampling distribution of p̂ to evaluate Reading: p. 413-417 Textbook Problems: 1, 3, 5, 7 Reading: p. 417-428 Strive: p. 127-130 Textbook Problems: 9, 13, 17-20 Reading: p. 432-439 Strive: p. 131-133 Textbook Problems: 27, 29, 34, 35, 37 a claim about a population proportion. 4 Section 7.3 The Sampling Distribution of x : Mean and Standard Deviation, Sampling from a Normal Population, Technology: Using an Applet to Simulate the distribution of x . 5 Section 7.3 The Central Limit Theorem I can find the mean and standard deviation of the sampling distribution of a sample mean x from an SRS of size n. I can calculate probabilities involving a sample mean x when the population distribution is Normal. I can explain how the shape of the sampling distribution of x is related to the shape of the population distribution. I can use the central limit theorem to help find probabilities involving a sample mean x . Summary of all ‘I can’ statements and concepts All HW problems should be finished prior to test; Strive Book Chapter 7 should be completed prior to test 6 Chapter 7 Review Begins 7 Chapter 7 Review… continued… (see above) 8 Chapter 7 Review… continued… (see above) 9 Chapter 7 Test & HW are due!!! Reading: p. 442-448 Strive: p. 134-136 Textbook Problems: 49, 51, 53, 55 Reading: p. 449-454 Textbook Problems: 57, 59, 61, Strive: p. 139-145 Textbook Problems: 21-24 Textbook Problems: 43-46 Textbook Problems; 65-68 1