CHAPTER 9
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| ESTIMATION USING A SINGLE SAMPLE |
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Section 9.1 - Point Estimates
Section Objectives: ~Understand the
definition of a point estimate
~Understand the definition of bias
~Understand desirable characteristics of
a point estimate
~Have
a sense that the sampling distribution of a “good” statistic is
centered at the
population value with a small standard deviation
A. R9.1 - Read section 9.1
Reading
Guide
Correction Sheet
B. H9.1A - Do the following
problems from Peck
Correction Sheet
-9.2, 9.4 (fix typo in book "to produce
the estimates of", 9.6, 9.8, 9.10 |
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Section 9.2 - Large-Sample Confidence
Interval for a Population Proportion
Section Objectives:
~Understand
the definitions of confidence interval and confidence level
~Understand
the definition of standard error
~Understand
the definition of the bound on the error of estimation
~Be
able to construct and interpret in context a confidence interval for
π
~Be
able to calculate the sample size necessary to estimate π
to within a specified
bound with specified confidence level
~Have
a sense of the role of confidence intervals in providing estimates
of unknown
quantities
~Have
a sense of how the formula for the confidence intervals and sample
sizes are
derived from the characteristics of the sampling
distribution of p including the
relevant assumptions
A. R9.2 - Read section 9.2
Reading
Guide
Correction Sheet
B. H9.2A -
Worksheet 9.2A -
Confidence Interval for
p
Correction Sheet
C. H9.2B -
Worksheet 9.2B -
Using 1-PropZInt on the TI-83/84
Correction Sheet
D. H9.2C -
Worksheet 9.2C - Sample Size for Estimating
p
Correction Sheet
E. H9.2D - Do the following problems from Peck
Correction Sheet1
Correction Sheet2
-"C" = Use 1-PropZInt on the
calculator, "H" = Find the CI by hand showing all work
-9.12, 9.14, 9.16 C, 9.18 C, 9.20 C, 9.24 H, 9.26, 9,28 H,
Activity 9.3 H
F. A9.2 - Do
Activities 9.1 and 9.2
Correction Sheet
-Click
here to go to
the Applets Main Page and click on "Confidence Intervals"
G. Take Quiz 9.1-9.2 |
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Section 9.3- Confidence Interval for a
Population Mean
Section Objectives:
~Understand
the characteristics of the sampling distribution of x-bar
~Understand
the properties of t distributions
~Be
able to construct and interpret in context a confidence interval for
μ
~Be
able to calculate the sample size necessary to estimate μ to within
a specified bound with specified confidence
level
~Be
able to choose the appropriate distribution when constructing
confidence intervals
~Be
able to find the bound on error and best point estimate for a
population mean
~Have
a sense that the formulae for confidence interval and necessary
sample size are derived from the
characteristics of the
sampling distribution of x-bar assuming normality of the population
or large sample size
A. R9.3 - Read section 9.3
Reading
Guide
Correction Sheet
B. H9.3A -
Worksheet 9.3A -
Confidence Interval for µ
Correction Sheet
C. H9.3B -
Worksheet 9.3B -Using
TInterval on the TI 83/84
Correction Sheet
D. H9.3C - Do the following problems from Peck
Correction Sheet
-"C" = Use ZInterval or TInterval on the calculator, "H"
= Find the CI by hand showing all work
-9.30, 9.32, 9.34, 9.36, 9.38 H, 9.40, 9.42, 9.44 C, 9.46 C,
9.48
E. Take Quiz 9.3 |
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Section 9.4- Communicating and Interpreting
the Results of Statistical Analyses
Section Objectives:
A. R9.4 - Read section 9.4
Reading
Guide
Correction Sheet
B. Take the Chapter 9 Concepts Quiz
C. Take the Chapter 9 Test
Note: Apparently on the AP test you are expected to
state and check that the
assumptions for a confidence interval are met before
determining the CI. You were
asked to do this in the HW, but
it is not expressly requested on the AP test, but it is
part
of the grading of the AP test so be sure to do this when needed on
the Ch. 9 test,
especially with the "AP" problems. |
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