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AP Stats Chapter 7 Name____________________________ Reading the text will be important in this chapter. Topics Ch 7 Intro, 7.1 Parameters and Statistics pg. 413-417 7.1 Sampling Variability, Describing Sampling Distributions pg. 417-428 Learning Targets Distinguish between a parameter and a statistic. Pg. 428 (1, 3, 5, 7) Understand the definition of a sampling distribution. Distinguish between population distribution, sampling distribution, and the distribution of sample data. Determine whether a statistic is an unbiased estimator of a population parameter. Understand the relationship between sample size and the variability of an estimator. Find the mean and standard deviation of the sampling distribution of a sample proportion p for an SRS of size n from a population having proportion p of successes. Check whether the 10% and Normal conditions are met in a given setting. Use Normal approximation to calculate probabilities involving p. Use the sampling distribution of p to evaluate a claim about a population proportion. Find the mean and standard deviation of the sampling distribution of a sample mean 𝑥̅ from an SRS of size n. Calculate probabilities involving a sample mean 𝑥̅ when the population distribution is Normal. Explain how the shape of the sampling distribution of 𝑥̅ is related to the shape of the population distribution. Use the central limit theorem to help find probabilities involving a sample mean 𝑥̅ . Pg. 429 (9, 11, 13, 17-20) 7.2 The Sampling Distribution of p, Using the Normal Approximation for p pg. 432-439 7.3 The Sampling Distribution of 𝑥̅ : Mean and Standard Deviation, Sampling from a Normal Population pg. 442-448 7.3 The Central Limit Theorem pg. 449-454 Homework Pg. 430 (2124) Pg. 439 (27, 29, 33, 35, 37, 41) Pg. 441 (4346) Pg. 454 (49, 51, 53, 55) Pg. 455 (57, 59, 61, 63, 6568) Homework due Chapter 7 Review Chapter 7 Review Chapter 7 Test AP Free Response 1998 #1 sampling dist of the sample mean, effect of sample size on shape 2004B #3 normal probability calculation, interpretation for the sample mean 2006 #3 normal and binomial, probability calculation for sample mean 2007 #3 sampling dist of the sample mean, prob calculation for sample mean, and Central Limit Theorem 2007B #2 Addition rule, binomial, sampling distribution of sample mean 2008B #2 Properties of estimators; bias and variability 2009 #2 Inverse Normal calculation, binomial, prob calculation for sample mean 2010 #2 Sampling dist of the sample mean, prob calculation for a total Websites www.rossmanchance.com/applets Reese’s Pieces applet…changing sample size and proportion of successes to see affect on sampling distribution www.whfreeman.com/tps43/ Normal Approx to Binomial applet (Normal approx. gets better as sample size increases and proportion of successes gets closer to 0.5 and farther from 0 and 1) www.rossmanchance.com/applets Sampling Pennies applet investigates how changing the sample size affects the sampling distribution of the sample mean when sampling form a skewed population