AP Statistics Chapter 7
Day
1
Topics
7.1 Introduction,
Parameters and
Statistics, Sampling
Variability, Describing
Sampling Distributions
pg. 413-428
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2
7.2 The Sampling
Distribution of pφ ,
Using the Normal
Approximation for pφ
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pg. 432-439
3
7.3 The Sampling
Distribution of x :
Mean and Standard
Deviation, Sampling
from a Normal
Population
Objectives: Students will be able to…
Distinguish between a parameter and a statistic.
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 pφ 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 pφ .
Homework
Pg. 428 (1, 3, 5,
7, 21-24 & 9, 11,
13, 17-20)
pg. 439 (27, 29,
33, 35, 37, 41,
43-46)
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Use the sampling distribution of pφ to evaluate a
claim about a population proportion.
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Find the mean and standard deviation of the
sampling distribution of a sample mean x from an
SRS of size n.
Calculate probabilities involving a sample mean x
when the population distribution is Normal.
Pg. 441 (49, 51,
53, 55)
Explain how the shape of the sampling distribution
of x is related to the shape of the population
distribution.
Use the central limit theorem to help find
probabilities involving a sample mean x .
Pg. 455 (57, 59,
61, 63, 65-68)
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pg. 442-448
4
7.3 The Central Limit
Theorem
pg. 449-454
5
Chapter 7 Review
6
Chapter 7 Test
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Chapter 7
Review
2006 #3,
2007 #3
Websites
www.rossmanchance.com/applets
Reese’s Pieces applet…changing sample size and proportion of successes to see affect on
sampling distribution
Sampling pennies applet…investigates how changing the sample size affects the
sampling distribution of the sample mean when sampling from a skewed population
www.whfreeman.com/tps43/
Normal approximation 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)
AP Free Response
1998 #1
2004B #3
2006 #3
2007#3
2007B #2
2008B #2
2009 #2
2010 #2
sampling dist of the sample mean, effect of sample size on shape
normal probability calculation, interpretation for the sample mean
normal and binomial, probability calculation for sample mean
sampling dist of sample mean, prob calculation for sample mean, and
Central Limit Theorem
Addition rule, binomial, ampling distribution of sample mean
properties of estimators; bias and variability
inverse Normal calculation, binomial, prob calculation for sample mean
sampling dist of the sample mean, prob calculation for a total