MATH 550 Applied Probability & Statistics Summer Semester, 2002

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MATH 550
Applied Probability & Statistics
Instructor:
Bill Blubaugh, Ph.D.
Email: [email protected]
Summer Semester, 2002
Phone: 970 - 667 - 8793
Math office: 351 - 2820
Textbook: Elementary Statistics: A Step by Step Approach, A Brief Edition (Second Edition), written by
Allan Bluman, and published by McGraw Hill, 2002.
Course Objectives:
• To develop proficiency in the use of statistics to structure understanding of and investigate questions
in the world around us.
• To develop proficiency in treating statistical content at the appropriate level.
• Demonstrate competence in the use of numerical, graphical, and algebraic representations.
• Demonstrate proficiency in the use of statistics to formulate and solve problems.
• Demonstrate the ability to interpret data, analyze graphical information, and communicate solutions in
written and oral form.
• Demonstrate proficiency in the use of computer and calculator technology in supporting the use of
statistics.
• To learn and connect topics of probability and statistics in a context for use in secondary mathematics.
Course Content:
• The Nature of Probability and Statistic
a. Descriptive and Inferential Statistics
b. Variables and Types of Data
c. Data Collection and Sampling Techniques
•
•
Frequency Distributions and Graphs
a. Organizing Data
c. Other Types of Graphs
Data Description
a. Measures of Central Tendency
c. Measures of Positions
b. Histograms, Frequency Polygons, and Ogives
b. Measures of Variation
d. Exploratory Data Analysis
•
Probability
a. Sample Spaces and Probability
b. The Addition Rules for Probability
c. The Multiplication Rules and Conditional Probability
•
Probability Distributions
a. Probability Distributions
c. The Binomial Distribution
b. Mean, Variance, and Expectation
•
The Normal Distribution (ND)
a. Properties of the ND
b. The Standard ND
c. Applications of the ND
d. The Central Limit Theorem
e. The Normal Approximation to the Binomial Distribution
•
Confidence Intervals (CI) and Sample Size (SS)
a. CI and SS with a Known Mean
b. CI and SS with an Unknown Mean
c. CI and SS for Proportions
d. CI for Variances and Standard Deviations (SD)
•
Hypothesis Testing
a. Steps in Hypothesis Testing
c. Small Sample Mean Test
e. Variance or SD Test
b. Large Sample Mean Test
d. Proportion Test
f. CI and Hypothesis Testing
•
Testing the Difference among Means, Variance, and Proportions
a. Testing the Difference between Two Means: Large Samples
b. Testing the Difference between Two Variances
c. Testing the Difference between Two Means: Small Independent Samples
d. Testing the Difference between Two Means: Small Dependent Samples
e. Testing the Difference between Proportions
•
Correlations and Regressions
a. Scatter Plots
c. Regressions
•
b. Correlations
d. Coefficient of Determination and
Standard Error of Estimate
Chi-Squared and Analysis of Variance (ANOVA)
a. Test for Goodness of Fit
b. Tests Using Contingency Tables
c. Analysis of Variance (ANOVA)
Attendance: Attendance to class is expected and required. Material and methods may be covered in
class which are not in your textbook. If you absolutely cannot be in class for a test or lab, you must
contact me in advance if you wish to make it up; there will be no exceptions.
Disabilities: Students with disabilities who believe they may need accommodations in this class are
encouraged to contact the Disability Access Center (970) 351-2289 as soon as possible to better ensure
that accommodations are implemented in a timely fashion.
Homework: Assignments will be made for each class period, but not collected. You will be tested
"directly" over some of the assigned problems on the tests. You should feel free and are encouraged to
work with other class members, and become interested in each other's achievements. Your success in
mathematics is not only important to you, but also to the hundreds of students you influence in your future
classrooms.
Labs: There will be four labs assigned and collected. The software program Excel will be used. Each lab
write-up will be due shortly after the lab is conducted in class. The lab assignment will be worth 25 points
each. You are encouraged to work in groups of two (three maximum or individually if preferred) for the lab
work. Each lab will be a group project and the lab partner will receive the same grade for each
assignment. You can change partners for each lab project if you like.
Tests: There will be three tests of approximately 60 minutes each, over the course material. If you
absolutely cannot be in class for a test or lab, you must contact me in advance if you wish to make it up;
there will be no exceptions. The written tests will be returned, with a key, the class period immediately
following the examination date (if possible). Each test will consist of problems which require knowledge of
the techniques covered in class and on homework problems assigned.
Evaluation: There will be three tests and four laboratory write-ups. Each test will be worth 100 points
and each lab write-up is worth 25 points. You will be allowed to bring a 3 by 5 (or 4 by 6) note card for
each test and will be allowed the use of your calculator. Letter grades will be based on 90%, 80%, 70%
and 60% of total 400 points possible.
Tentative Schedule
Class Day
Sections
Problems Due
July 1
July 2
July 3
July 4
Introduction, 2.2, 2.3, 2.5
3.1 - 3.3
3.4, 3.5, Lab #1
No Class
None
2.2, 2.3, 2.5
3.2, 3.3
July 8
July 9
July 10
July 11
5.1-5.4
6.1-6.3
6.4, (Lab #1 Due), Review, Lab #2
Test #1 (Chapters 2, 3, 5, 6)
3.4, 3.5
5.2, 5.3, 5.4
6.2, 6.3
6.4
July 15
July 16
July 17
July 18
7.1 - 7.4
7.5, 7.6, (Lab #2 Due)
8.1, 8.2, 8.3
8.4, 8.5, Lab #3
none
7.3, 7.4
7.5, 7.6
8.2, 8.3
July 22
July 23
July 24
July 25
9.1, 9.2, 9.3
9.4, 9.5
9.6, Review for Test
Test #2, (Chapters 7, 8, 9)
8.4, 8.5
9.2, 9.3
9.4, 9.5
9.6
July 29
July 30
July 31
Aug. 1
10.1,10.2, 10.4 (Lab #3 Due)
10.5, 10.6
11.1, 11.2
11.3, 11.4, Lab #4
None
10.2, 10.4
10.5, 10.6
11.2
Aug. 5
Aug. 6
Aug. 7
12.2, 12.3
Review for Test, (Lab #4 Due)
Test #3, (Chapters 10, 11, 12)
11. 11.4
12.2, 12.3
None
Problems Per Section
Section
2.2
2.3
2.5
3.2
3.3
3.4
3.5
5.2
5.3
5.4
6.2
6.3
6.4
7.3
7.4
7.5
7.6
8.2
8.3
8.4
8.5
9.2
9.3
9.4
9.5
9.6
10.2
10.3
10.4
10.5
10.6
11.2
11.3
11.4
12.2
12.3
12.4
Page
41
54
79
106
123
136
150
194
201
214
228
236
243
270
280
293
300
318
326
333
339
359
369
380
387
397
418
430
441
454
463
486
494
506
523
535
548
Problems
5, 8, 10, 13
19, 23, 28
59, 61, 65
1, 3, 5, 6, 7, 30, 31
43, 45, 46, 48, 49, 51, 55, 70, 72
96, 100, 101, 110, 112
120, 122, 129
3, 4, 5, 9, 10, 11, 12, 13, 15, 17, 21, 27, 34
41, 43, 49, 61
70 71, 73, 74, 84, 85, 94-101, 110, 113, 118
6-18, 20, 22, 25, 27
37, 39, 48, 50, 54
64, 65, 66, 73, 77, 82
7, 11, 15, 19, 25, 29, 33, 35, 37, 39, 41, 43, 46
55, 57, 61, 65, 71, 77
101, 105, 111, 114, 117
125, 127, 129, 130
11, 13, 16, 18, 20, 24
31, 33, 34, 37, 39, 45
49, 50, 54, 57, 60
70, 71, 73, 75
1, 2, 4, 5, 9, 12, 13(a-g)
15, 17, 22, 23, 25, 27, 31, 33
47, 49, 50, 55, 58, 59
66, 69, 70, 73, 75
81, 82, 84, 87
6, 7, 9, 11, 15
29, 30, 32, 33
43, 44, 45, 47, 49
56, 57, 59, 61, 64
68, 69, 71, 73, 76, 80
13, 15, 17, 22, 23, 27
41, 43, 45, 50, 55, 57
76, 77, 81, 83
6, 7, 9, 14, 17
28, 30, 34, 42
64, 65, 66, 69
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