AP Statistics – Chapter 7 Sampling Distributions

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AP Statistics – Chapter 7 Sampling Distributions (Alabama)
Day
1
2
Objectives:
Students will be able to…
Topics
Introduction: German Tank Problem
Section 7.1
 Parameters and Statistics
Section 7.1
 Sampling Variability
 Describing Sampling
Distributions

I can distinguish between a parameter and a
statistic.

I can understand the definition of a sampling
distribution.
I can distinguish between population distribution,
sampling distribution, and the distribution of sample
data.
I can determine whether a statistic is an unbiased
estimator of a population parameter.
I can understand the relationship between sample
size and the variability of an estimator.
I can find the mean and standard deviation of the
sampling distribution of a sample proportion p̂ for
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
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3
Section 7.2
 The Sampling Distribution of p̂ ,
 Using the Normal
Approximation for p̂
 Technology: Using an Applet to
Simulate the distribution of p̂ .
Homework



an SRS of size n from a population having proportion
p of successes.
I can check whether the 10% and Normal conditions
are met in a given setting.
I can use Normal approximation to calculate
probabilities involving p̂ .
I can use the sampling distribution of
p̂ to evaluate
Reading:
p. 413-417
Textbook
Problems:
1, 3, 5, 7
Reading:
p. 417-428
Strive:
p. 127-130
Textbook
Problems:
9, 13, 17-20
Reading:
p. 432-439
Strive:
p. 131-133
Textbook
Problems:
27, 29, 34,
35, 37
a claim about a population proportion.
4
Section 7.3
 The Sampling Distribution of x :
Mean and Standard Deviation,
Sampling from a Normal
Population,
 Technology: Using an Applet to
Simulate the distribution of x .



5
Section 7.3
 The Central Limit Theorem

I can find the mean and standard deviation of the
sampling distribution of a sample mean x from an
SRS of size n.
I can calculate probabilities involving a sample mean
x when the population distribution is Normal.
I can explain how the shape of the sampling
distribution of x is related to the shape of the
population distribution.
I can use the central limit theorem to help find
probabilities involving a sample mean x .


Summary of all ‘I can’ statements and concepts
All HW problems should be finished prior to test;
Strive Book Chapter 7 should be completed prior to
test
6
Chapter 7 Review Begins
7
Chapter 7 Review… continued…

(see above)
8
Chapter 7 Review… continued…

(see above)
9
Chapter 7 Test & HW are due!!!
Reading:
p. 442-448
Strive:
p. 134-136
Textbook
Problems:
49, 51, 53, 55
Reading:
p. 449-454
Textbook
Problems:
57, 59, 61,
Strive:
p. 139-145
Textbook
Problems:
21-24
Textbook
Problems:
43-46
Textbook
Problems;
65-68
1
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