Lesson 10.1: Confidence Intervals

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AP Statistics
Miscellaneous
Name: ____________
Date: _____________
Chapter 10: Estimating with Confidence
Learning Targets
Here is a list of the most important skills that you should acquire from your study
of this chapter. By the end of this chapter, You Will Be Able To:
Lesson 10.1:
A:
B:
C:
D:
E:
Distinguish between a point estimate and an interval estimate.
Construct a confidence interval.
Interpret a confidence interval in the context of the problem.
Interpret confidence level.
State the three conditions (SIN) that need to be present in order to construct a valid
confidence interval.
Lesson 10.2:
F:
G:
H:
I:
J:
K:
L:
M:
Confidence Intervals: The Basics
A: Estimating a Population Mean
B: Choosing a Sample Size
C: Paired t-Procedures
Given a sample mean, x , determine the standard error of x .
List three important facts about the t distributions, including comparisons to the
standard Normal curve.
List the three conditions (SIN) that must be present before constructing a confidence
interval for an unknown population mean,  .
Construct a one-sample t confidence interval for a population mean,  , using the
five-step PPCCI format.
Determine the sample size necessary to construct a level C confidence interval for
a population mean,  , with a specified margin of error.
Describe what is meant by matched pairs t procedures.
Construct a level C t confidence interval for a set of matched-pairs data.
Explain what is meant by a robust inference procedure and comment on the
robustness of t procedures.
Lesson 10.3:
A: Estimating a Population Proportion
B: Choosing a Sample Size


N: Given a sample proportion, p , determine the standard error of p .
O: List the three conditions (SIN) that must be present before constructing a confidence
interval for an unknown population proportion, p.
P: Construct a one-sample z confidence interval for a population proportion, p, using the
five-step PPCCI format.
Q: Explain what is meant by margin of error.
R: Identify three ways to make the margin of error smaller when constructing a confidence
interval.
S: Determine the sample size necessary to construct a level C confidence interval for
a population proportion, p, with a specified margin of error.
Vocabulary
Here is a list of the most important vocabulary that you should master.
For each vocabulary term, define it in your words on an index card.
Include a picture and/or diagram that you can associate with the term.
Lesson 10.1:
Lesson 10.2:
Point estimate
Interval estimate
Level C Confidence Interval
Margin of Error
Student’s t distribution
Degrees of freedom
Standard Error of a Statistic
Matched pairs design
Robustness
Homework Assignments
Lesson
10.1A
10.1B
10.1C
Review 10.1
10.3A
10.3B
Review 10.3
10.2A
(t-Interval)
10.2B
(Robust t)
10.2C
(Matched
Pairs)
Review Ch10
Pages
Problems
Read pp. 617-624
#1,2,3,4,5
Prob. pp. 624-626
Read pp. 626-632
#7,8,9,10,11
Prob. pp. 632-633
Read pp. 635-639
#14,15,16
Prob. pp. 637-638
Prob. pp. 640-641
#24,25,26
Read pp. 663-668
#45, 48, 49
Prob. pp. 669
Read pp. 669-672
#52, 55, 56
Prob. pp. 672-674
Read pp. 674-675
#57, 58, 62
Prob. pp. 675-677
Read pp. 642-648 #37, 39, 40, 42, 43
Prob. pp. 659-661
Read pp. 654-657
#28, 30, 31, 32
Prob. pp. 649-650
Read pp. 651-654
Prob. pp. 657-658
#33, 35, 36,
Prob. pp. 659-661
38, 41, 44
Read pp. 677-679 #66, 70, 71, 72, 16
Prob. pp. 680-683
Show
WORK
GRAPH on
Graph Paper
#5
#1,4
#9,10,11
#7,8
#14,15,16
#24,25,26
#45, 48, 49
#52, 55, 56
#57, 58, 62
#39, 40, 42, 43
#30, 31, 32
#33, 35,
38, 41, 44
#66, 70, 71,
72, 16
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