AP STATISTICS: Ms. Jetmore 2015-2016
Syllabus Chapter 10: Comparing Two Populations or Groups
Day
R Feb 11
Topic
“Is Yawning Contagious?”Activity
10.1 The Sampling Distribution of a Difference between
Two Proportions
F Feb 12
10.1 Confidence Intervals for p1  p2
M Feb 15
NO School – President’s Day
T Feb 16
10.1 Significance Tests for p1  p2 , Inference for
p. 623; 15, 17, 21, 23
Experiments
Read 627-633
W Feb 17
10.2 “Does Polyester Decay?” Activity, The Sampling
Distribution of a Difference between Two Means
p. 626; 29-32
p. 656; 35, 37, 57
R Feb 18
Review 10.1 – AP MC questions
Quiz 10.1 (30 points)
Read 633-638
F Feb 19
10.2 The Two-Sample t Statistic, Confidence Intervals
for 1  2
p. 652; 39, 41, 43, 45
10.2 Significance Tests for 1  2 , Using Two-Sample
p. 655; 51, 55, 59, 65, 67-70
M Feb 22
Assignment
p. 621; 1, 3, 5
Read 608-611
p. 622; 7, 9, 11, 13
Read 611-619
Read 638-650
t Procedures Wisely
T Feb 23
FRQuesday
W Feb 24
Chapter 10 Review – Part I
p. 661; 4-7
R Feb 25
Chapter 10 Review – Part II
p. 661; 1-3, 8-10
F Feb 26
Chapter 10 Test (50 points)
Last day for chapter 9 quiz retakes
M Feb 29 MOCK EXAM (1/2 day field trip pm)
Tutoring is available most mornings 7:30-8:00am and after school as needed.
Additional assistance is available at: rhsjetmoremath.pbworks.com
Chapter Objectives
Section 10.1 – Comparing Two Proportions
 Describe the characteristics of the sampling distribution of pˆ1  pˆ 2

Calculate probabilities using the sampling distribution of pˆ1  pˆ 2




Determine whether the conditions for performing inference are met.
Construct and interpret a confidence interval to compare two proportions.
Perform a significance test to compare two proportions.
Interpret the results of inference procedures in a randomized experiment.
Section 10.2 – Comparing Two Means
 Describe the characteristics of the sampling distribution of x1  x2 .

Calculate probabilities using the sampling distribution of x1  x2 .



Determine whether the conditions for performing inference are met.
Use two-sample t procedures to compare two means based on summary statistics.
Use two-sample t procedures to compare two means from raw data.
AP Exam Tips
 You may use your calculator to compute a confidence interval on the AP exam. But there’s a
risk involved. If you just give the calculator answer with no work, you’ll get either full credit for
the “Do” step (if the interval is correct) or no credit (if it’s wrong). If you opt for the calculator
method, be sure to name the procedure (e.g., two-proportion z interval) and to give the interval
(e.g., 0.223 to 0.297).
 When checking the Normal condition on an AP exam question involving inference about
means, be sure to include a graph. Don’t expect to receive credit for describing a graph that
you made on your calculator but didn’t put on paper.
 When a significance test leads to a fail to reject H 0 decision, as in the previous example, be
sure to interpret the results as “We don’t have enough evidence to conclude H a .” Saying
anything that sounds like you believe H 0 is (or might be) true will lead to a loss of credit.
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
2000
4
2002
2002
5
6
2003B
3
2003B
4
2004B
4
2004B
5
2004B
6
2005B
3
2006
4
2006B
2
2007
1
2007
5
2007B
2008
5
4
2008B
2009
1
4
2009
5
2009B
2009B
3
6
2010
5
Content
Two-sample t test for the difference between two means, Inference about cause and
effect
Stating hypotheses, Two-sample t test for the difference between two means
One-sample z interval for a proportion, Interpreting confidence level, Two-sample z
test for the difference between two proportions, Pooling
Experiment versus observational study, Two-sample z test for the difference between
two proportions (identification and hypotheses only)
Random assignment, Control groups, Choosing a correct inference procedure,
Sources of variability
Two-sample t interval for the difference between two means, Two-sample versus
paired t interval
Boxplots, One-sample t interval for a mean (conditions only), Two-sample t test for the
difference between two means (conditions only)
Two-sample t interval for the difference between two means, constructing and
interpreting an interaction plot
Completely randomized design versus matched pairs design, Two-sample t test versus
paired t test
Two-sample t interval for the difference between two means, Using a confidence
interval to test hypotheses
Two-sample z interval for the difference between two proportions, Using a confidence
interval to test hypotheses
Interpreting standard deviation, Comparing center, Using a confidence interval to test
hypotheses
Experiment versus observational study, Stating hypotheses, Two-sample z test for the
difference between two proportions (conditions only), Interpreting a P-value and
making a conclusion
Two-sample t test for the difference between two means
Constructing and interpreting scatterplots, Standard error of the average of two
proportions
Constructing and comparing dotplots, Logic of hypothesis tests
Two-sample t interval for the difference between two means, Using a confidence
interval to test hypotheses
Interpreting a P-value for a two-sample z test for the difference between two
proportions, Using a P-value to make a conclusion, Type I and Type II errors and
consequences
Two-sample z test for the difference between two proportions
Double-blind experiments, Two-sample z interval for the difference between two
proportions, Relative risk
Two-sample t test for the difference between two means