AP STATISTICS: Ms. Jetmore 2015-2016
Syllabus Chapter 7: Sampling Distributions
Day
M Nov 30
Topic
Chapter 7 Introduction, Sec 7.1 – Parameters
and Statistics
Assignment
p. 428; 1, 3, 5, 7
Read p. 417-427
T Dec 1
Sec 7.1 – Sampling Variability, Describing
Sampling Distributions
p. 429; 9, 11, 13, 17-20
Read p. 432-439
W Dec 2
Sec 7.2 – The Sampling Distribution of p̂ ,
p. 431; 21-24
Using the Normal Approximation for p̂
p. 439; 27, 29, 33
Sec 7.2 – The Sampling Distribution of p̂ ,
p. 441; 35, 37, 41, 43-46
Using the Normal Approximation for p̂
Review p. 416-439
F Dec 4
Review 7.1 & 7.2
Quiz 7.1 & 7.2
Read p. 442-448
M Dec 7
Sec 7.3 – The Sampling Distribution of x : Mean
and Standard Deviation, Sampling from a Normal
Population
p. 454; 49, 51, 53, 55
Read p. 449-453
T Dec 8
Sec 7.3 – The Central Limit Theorem
p. 455; 57, 59, 61, 63, 65-68
W Dec 9
Chapter 7 Review
p. 458; 1-7
R Dec 10
Chapter 7 Review
p. 459; 1-13 (optional)
F Dec 11
Chapter 7 TEST
Review Chapters 1 & 2
M Dec 14
T Dec 15
W Dec 16
R Dec 17
F Dec 18
Final project work day
Final project work day
Final Exam – part 1
Final Exam – part 2
Project presentations
Review Chapters 3 & 4
Review Chapters 5 & 6
work on project
finish project
Turn in books
R Dec 3
WINTER BREAK DEC 21 – JAN 4
COME BACK TO SCHOOL TUESDAY JAN 5TH
Tutoring is available most morning 7:30-8:00am and after school as needed.
Additional assistance is available at: rhsjetmoremath.pbworks.com
Chapter Objectives
Section 7.1 – What is a Sampling Distribution?
 Distinguish between a parameter and a statistic.
 Understand the definition of a sampling distribution.
 Distinguish between population distribution, sampling distribution, and the distribution of sampling
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.
Section 7.2 – Sample Proportions
 Find the mean and standard deviation of the sampling distribution of a sample proportion p̂ 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 p̂ .

Use the sampling distribution of p̂ to evaluate a claim about a population proportion.
Section 7.3 – Sample Means
 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.
 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 .
AP Exam Tips
 Terminology matters. Don’t say “sample distribution” when you mean sampling distribution. You will
lose credit on free-response questions for misusing statistical terms.
 Notation matters. The symbols pˆ , x , p,  ,  ,  pˆ ,  pˆ ,  x ,  x all have specific and different meanings.
Either use notation correctly – or don’t use it at all. You can expect to lose credit if you use incorrect
notation.
Free-Response Questions from Previous AP Exams
Questions can be found on the AP Central Web site:
http://apcentral.collegeboard.com/apc/members/exam/exam_questions/8357.html.
Students should be able to answer all the free-response questions listed with material in this chapter. Questions
that contain content from this chapter but also require content from later chapters are listed in the last chapter
required to complete the entire question. Some of these problems we will do in class as warm-up problems.
You may do the others to help you understand the content from this chapter as well as to prepare for the AP
exam in May.
Year
Question
1998
1
2004B
3
2006
3
2007
3
2007B
2
2008B
2009
2
2
2010
2
Content
Sampling distribution of the sample mean, effect of sample size on shape of
sampling distribution
Normal probability calculation and interpretation, probability calculation and
interpretation for the sample mean
Normal probability calculation, Binomial probability calculation, probability
calculation for the sample mean
Sampling distribution of the sample mean, probability calculation for the sample
mean, central limit theorem
Addition rule, binomial probability calculation, sampling distribution of the
sample mean
Properties of estimators: bias and variability
Inverse Normal calculation, binomial probability calculation, probability
calculation for the sample mean
Sampling distribution of the sample mean, probability calculation for a total