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INTRODUCTION TO STATISTICS |
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Class
Hours: 2.0 |
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Credit
Hours: 3.0 |
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Laboratory
Hours: 2.0 |
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Date
Revised: Spring 07 |
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Catalog
Course Description: |
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Descriptive
statistics, including bivariate
trends; time series; concepts of probability and probability distributions;
binomial and normal distributions; linear correlation and regression;
estimation and significance tests for means; contingency tables, chi-square
tests for goodness of fit and independence. A computer laboratory
component is required. |
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Entry
Level Standards: |
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A
thorough knowledge of algebraic functions is necessary for entrance to this
course. Students should be able to read on the college level and reason
logically. |
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Prerequisite: |
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MATH
1830 or MATH 1910 |
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Textbook(s)
and Other Reference Materials Basic to the Course: |
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Textbook:
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I.
Week/Unit/Topic Basis: |
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Week |
Topic |
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1 |
Statistical
applications in business and economics; data; data sources; descriptive
statistics; statistical inference and probability; summarizing |
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2 |
Summarizing
quantitative data; exploratory data analysis; cross-tabulations and scatter
diagrams. Chapter 3 |
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3 |
Measures
of location; measures of variability; some uses of the mean and the standard
deviation; exploratory data analysis; measures of the association between two
variables; computing measures of location and dispersion for grouped
data. Chapter 3 |
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4 |
Experiments,
the sample space, and counting rules. Chapter 4 |
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5 |
Assigning
probabilities to experimental outcomes; events and their probabilities; some
basic relationships of probability; conditional probability; random
variables. Chapter 4 |
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6 |
Discrete
probability distributions; expected value and variance; the binomial
probability distribution; the uniform probability distribution. Chapter
5 |
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7 |
The
normal probability distribution; normal approximation of binomial
distributions; simple random sampling; point estimation; introduction to
sampling distributions. Chapters 6,7 |
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8 |
Sampling
distribution of the sample mean; sampling distribution of the sample
proportion; properties of point estimators; other sampling methods.
Chapter 7 |
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9 |
Interval
estimation of a population proportion and mean. Determining sample size. Chapter 8 |
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10 |
Developing null and alternative hypothesis;
type I and type II errors; Tests about a population mean and proportion.
Chapters 9 |
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11 |
Tests
of the differences between the means of two populations, independent and
matched samples. Inferences about the difference between the
proportions of two populations; Chapter 10 |
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12 |
Hypothesis
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13 |
The
simple linear regression model; the least squares method. Chapter 14 |
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14 |
The
coefficient of determination; residual analysis, outliers and influential
observations; the components of a time series; using smoothing methods in
forecasting. Chapter 14 |
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15 |
Comprehensive
final exam |
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II.
Course Objectives*: |
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A. |
Demonstrate
descriptive methods of statistics, including frequency distribution, measures
of central tendency, and measures of variation. VI.1-5 |
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B. |
Examine
bivariate data, cross-tabulations,
sorting, graphics, and covariance and correlation. VI.1-5 |
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C. |
Investigate
probabilistic concepts. VI.1-5 |
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D. |
Explore
sampling and sampling distributions. VI.1-5 |
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E. |
Master
hypothesis testing. VI.1-5 |
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F. |
Determine
and interpret correlation and regression analysis. VI.1-5 |
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G. |
Perform
time series analysis. VI.1-5 |
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H. |
Apply
the most common probability distributions. VI.1-5 |
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*Roman
numerals after course objectives reference TBR’s
general education goals. |
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III.
Instructional Processes*: |
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Students
will: |
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1. |
Use
statistical software and/or statistical capabilities of the scientific
calculator to analyze real-world problems. Examples include hypothesis
testing and generating descriptive statistics. Mathematics Outcome,
Transitional Strategy, Active Learning Strategy |
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2. |
Work
collaboratively on laboratory exercises to explore concepts involving
probability. Mathematics Outcome, Active Learning Strategy |
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3. |
Use
critical thinking skills to interpret data, drawing conclusions, and state
conclusions in written form. Mathematics Outcome, Communication
Outcome |
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4. |
Construct
charts, tables, and graphs to provide visual descriptions of numerical data. Mathematics
Outcome |
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5. |
Identify
and translate real-life data into empirical probability models. Mathematics
Outcome, Transitional Strategy, Active Learning Strategy |
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*Strategies and outcomes listed after instructional processes reference TBR’s goals for strengthening general education knowledge and skills, connecting coursework to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process. |
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IV. Expectations for Student Performance*: |
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Upon successful completion of this course, the student
should be able to: |
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1. |
Construct frequency distributions and frequency
histograms. A, D |
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2. |
Calculate measures of central tendency. A |
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3. |
Calculate measures of dispersion. A |
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4. |
Construct scatter diagrams. B |
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5. |
Calculate correlation coefficients and establish the
relative strength of the linear relationships between two variables. B,
D, F |
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6. |
Construct time series charts and interpret the
results. G |
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7. |
Calculate probabilities using both the classical and the
empirical approaches. C |
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8. |
Calculate probabilities based on both the standardized
and non-standard normal distributions. D, H |
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9. |
Perform hypothesis tests, including, but not restricted
to, means testing (both large and small samples), and tests of independence
and goodness of fit. D, E, H |
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*Letters after performance expectations reference the course objectives listed above. |
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V. Evaluation: |
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A. Testing Procedures: |
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Students are evaluated on the basis of tests, and
at the teacher’s discretion, quizzes, homework, computer projects, and case
studies. A minimum of four major unit tests and a comprehensive
departmental final will be given. All tests will be administered during
scheduled lab times. |
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B. Laboratory Expectations: |
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At least half of all class meetings take place in
the computer lab. A minimum of ten of these sessions will involve
assignments to be turned in and graded, with the lab average making up a
minimum of ten percent of the course grade. |
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C. Field Work: |
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None |
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D. Other Evaluation Methods: |
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None |
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E. Grading Scale: |
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93 - 100 A |
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VI. Policies: |
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A. Attendance Policy: |
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B. Academic Dishonesty: |
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Individual instructors must distribute
their policies on academic dishonesty and calculator
use during the first week of classes.
In addition to other possible disciplinary sanctions
that may be imposed as a result of academic misconduct, the instructor has
the authority to assign either (1) an F or a zero for the assignment or (2)
an F for the course. |
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C. Accommodations for Disabilities: |
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If you need accommodations because of a
disability, if you have emergency medical information to share, or if you
need special arrangements in case the building must be evacuated, please
inform the instructor immediately. Please see the instructor privately after
class or in his/her office. Students must present a current accommodation
plan from a staff member in Services for Students with Disabilities (SSWD) in
order to receive accommodations in this course. Services for Students with
Disabilities may be contacted by going to Goins 127
or 131 or by phone: 694-6751(Voice/TTY) or 539-7153. |
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Posted: February 15, 2007