AP Statistics
Lesson Plans
Chapter 13 Comparing two Population Parameter
Judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.
4.3.12.D.3
Use surveys and sampling techniques to generate data and draw conclusions about large groups. 4.4.12.A.1
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Advantages/disadvantages of sample selection methods (e.g., convenience sampling, responses to survey, random
sampling)
Evaluate the use of data in real-world contexts. 4.4.12.A.2
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Accuracy and reasonableness of conclusions drawn
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Bias in conclusions drawn (e.g., influence of how data is displayed)
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Statistical claims based on sampling
Design a statistical experiment, conduct the experiment, and interpret and communicate the outcome. 4.4.12.A.3
Analyze data using technology, and use statistical terminology to describe conclusions. 4.4.12.A.5
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Measures of dispersion: variance, standard deviation, outliers
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Correlation coefficient
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Normal distribution (e.g., approximately 95% of the sample lies between two standard deviations on either side of the
mean)
DATE
SECTION
1 to 2
block
s
13-1
OBJECTIVES
SWBAT
 Describe the three necessary conditions necessary
for doing inference involving two population
means.
 Clarify the difference between the two-sample z
statistic and the two sample t statistic
 Identify the two practical options for using two
sample t-procedures and how they differ in terms
of computing the number of degrees of freedom.
 Conduct a two-sample significance tes for the
difference between two independent means using
the inference Toolbox
 Expain what is meant by “pooled two sample tprocedures”
ASSIGNMENT
 Read pages 780-784
 Page 785 #1, 3, 5
 Read pages 788-790
 Page 791 # 7, 9, 11
 Read pages 792-800
 page 801 # 13, 15
 page 804 #17 – 23 odd
METHOD OF
INSTRUCTION
 Notebook
presentation
 Worksheets….paired
work.
1 to 2
block
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13-2
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1
block
Review
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Identify the mean and standard deviation of the
sampling distribution of pˆ1  pˆ 2
List the conditions under which the sampling
distribution of pˆ1  pˆ 2 is appproximaely
Normal
Identify the standard error of pˆ1  pˆ 2 when
constructing a confidence interval for the
difference between two population proportions
Identify the three conditions under which it is
appropriate to construct a confidence interval
for the differences between two population
proportions
Construct a confidence interval for the
difference between two population portions
using the Toolbox for confidence intervals
Explain how the standard error of pˆ1  pˆ 2
differs between the constructing a confidence
interval for pˆ1  pˆ 2 and performing a
hypothesis test for Ho: pˆ1  pˆ 2 =0
List the three conditions that need to be
satisfied in order to do a significance test for the
difference between two proportions.
Conduct a significance test for the difference
between two portions using the inference tool
box.
review
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Read pages 806-812
Page 812 # 25, 27
Read pages 813 #25, 27
Read pages 813 – 819
Page 819 # 29, 31
Read 820
Page 821 #33- 39 odd
 Read page 826 -827
page 827 # 41 – 49 odd
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Notebook
presentation
Past AP Questions
for Example

Class discussion
Proficiencies: 28
UNIT #7 Inference for the Mean of a Population
Suggested Time Allotment: 9 Blocks
INSTRUCTIONAL OBJECTIVES
Students will be able to:
1. use one-sample t procedure create confidence interval for the
mean when variance is not known.
2. use one-sample t procedure perform hypothesis tests for the
mean when variance is not known.
3. determine if assumptions have been met for using t tests
4. perform hypothesis tests and create confidence intervals using
matched pairs t procedures.
5. compare means for two independent samples by using
hypothesis tests and confidence intervals.
6. apply confidence intervals and hypothesis testing of means to
real world situations
7. use appropriate software and/or graphing calculator to test a
mean or difference of two means
SUBJECT MATTER CONTENT
1. hypothesis testing and confidence intervals for small samples
or samples with unknown variances
2. hypothesis testing and confidence intervals for difference of
means paired or dependent samples
3. hypothesis testing and confidence intervals for difference of
two means independent samples, population variances equal
or not equal.
15.
UNIT #7 Inference for the Mean of a Population
1.
2.
3.
4.
5.
6.
7.
8.
INSTRUCTIONAL ACTIVITIES
Estimating a Total From Activity
Based Statistics by Richard L. Schaefer
sleep activity from Chapter 23 of
Workshop Statistics, Discovery with
Data
Hypothetical commuting times
Activity 25-1 from Workshop
Statistics, Discovery with Data
Show video from Against all Odds
Activity 16, 17, and 18 from Statistics
with the TI-83
Activity 22, 24, 26, 28 from TI-83
Enhanced Statistics
Analysis 1. Density of Nitrogen - A
Comparison of Two Samples from
Teachers Guide AP Statistics
Analysis 4. Codeine Concentration in
the Body from Teachers Guide AP
Statistics
INSTRUCTIONAL MATERIALS
1. textbook
2. Activity Based Statistics by Richard L.
Schaefer, Springer Verlag, New York
3. quarter and a dime
4. Workshop Statistics, Discovery with
Data, Allan J. Rossman, SpringerVerlag, New York
5. Against All Odds: Inside Statistics,
video #21, 22
6. Statistics with the TI-83 Gloria Barrett,
Meridian Creative Group, Erie PA.
7. TI-83 Enhanced Statistics, Ray Barton,
Venture Publishing, Andover, MA
8. Teachers Guide AP Statistics Ann E
Watkins, The College Board
9. Graphing calculator
10. Minitab software
11. Computer
12. overhead
13. transparencies
16.
ASSESSMENT
1. Group project: Students collect data
using approved statistical method of
collection and using appropriate
method and or methods to draw
conclusions about their data.
2. Tests
3. Quizzes