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Course syllabus
Link to MyStatLab
Shared
Material/Links
Handouts for Data Driven Projects
Activities
- Computing Sample
Proportions:
Individually or in pairs, students roll 3 dice and record "1" if there
are three different values and record "0" otherwise. The experiment is
repeated 50 times and each person/pair computes a value of p-hat. These
values are entered into Excel at the front of the room and a histogram
is displayed. This leads into the applet "Visualizing Sample
Proportions" listed below.
- Computing Confidence Interval for a Proportion:
The above activity is repeated with each student (or pair), with the
goal being the calculation of a 90% confidence interval. Then the true
value of the parameter (p = 5/9) is given, and the class is polled as to how many had made a "true" statement about p.
If care has been taken, you should see roughly 90% made true
statements. This leads into the applet "Visualizing Confidence
Intervals for a Proportion" listed below.
- Computing Sample Means:
Each student or pair of students takes one sample sheet and finds mean
and standard deviation for that sample. Sample means are recorded in a
spreadsheet and a histogram is shown. (The population mean and standard
deviation are each roughly 20 since the data here is generated by a
"rounded" exponential distribution with lambda = 0.05.)This leads into the applet "Visualizing Sample Means" listed below.
- Computing Confidence Interval for a Mean: The above activity is
repeated with each student (or pair), with the goal being the
calculation of a 90% confidence interval. Then the true value of the
parameter (mu = 20) is given, and the class is polled as to how many
had made a "true" statement about mu.
If care has been taken, you should see roughly 90% made true
statements. This leads into the applet "Visualizing Confidence
Intervals for a Mean" listed below.
Applets
Flashandmath.com
has mathematics applets for many different courses. The following are
recent posts of a collection of applets for instructor demonstrations
in an introductory statistics course.
- Interactive
Histogram. This tool is used in many of the applets on this page.
It illustrates the notion of “bin” that is important for understanding
both histograms and distributions in general.
- Visualizing Sample
Proportions. Simulates experimentally collecting sample proportions
and creating a histogram to illustrate the theoretical mean and spread
of the sample distribution.
- Visualizing
Confidence Intervals for a Proportion. Simulates experimentally
collecting sample proportions and forming confidence intervals. The
percentage of confidence intervals that contain the true population
proportion is shown to illustrate the notion of “confidence level.”
- Visualizing a
Sample Mean. Simulates experimentally collecting a single sample
(from a population whose distribution is shown) and displaying summary
statistics for that sample. Allows the user to repeat the experiment,
collecting a set of sample means and even showing a histogram to
illustrate the theoretical mean and spread of the sample distribution.
- Visualizing the
Distribution of Sample Means. Simulates experimentally collecting
sample means and creating a histogram to illustrate the theoretical
mean and spread of the sample distribution. The theoretical
distribution of the population is provided for comparison.
- Visualizing
Confidence Intervals for a Mean. Simulates experimentally collecting
sample means and forming confidence intervals. The percentage of
confidence intervals that contain the true population mean is shown to
illustrate the notion of “confidence level.”
Videos
Still in the process of transferring these out of Blackboard
environment and onto YouTube.
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