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PELLISSIPPI STATE COMMUNITY COLLEGE |
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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: Fall 09 |
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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: Goffinet, Koehler, Merchant, and Wilson., Microsoft Excel Manual to accompany Elementary Statistics, A Step by Step Approach, Boston, Mass., McGraw Hill, 2009
Personal Equipment: |
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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. Chapter 6 |
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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 6 |
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9 |
Interval
estimation of a population proportion and estimation of a population mean, standard deviation known and unknown; determining
sample size. Chapter 7 |
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10 |
Developing
null and alternative hypothesis; type I and type II errors; Tests about a population mean and
proportion. Chapter 8 |
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11 |
Tests
about differences between the means of two populations, independent samples
and matched samples. Tests about the differences in proportions. Chapter
9 |
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12 |
Hypothesis tests about population variances and two population variances; Chapter 9 Goodness of fit test for multinomial populations; test of independence using contingency table. Chapter 11 |
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13 |
The
simple linear regression model; the least squares method. Chapter 10 |
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14 |
Chapter Test and/or review for Final Exam |
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15 |
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, Technological Literacy 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, Information Literacy 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 mathematics department computer lab. A minimum of ten of theses
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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Academic dishonesty in any form is prohibited and will
be deal with severely. Penalties range
from an F or a zero for the specific project or examination to automatic
failure for the course for all students involved. Individual instructors must distribute
their policy on academic dishonesty during the first week of class. |
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C. Accommodations for Disabilities: |
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Students who need
accommodations because of a disability, have emergency medical information to
share, or need special arrangements in case the building must be evacuated
should inform the instructor immediately, privately after class or in her or
his 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 134 or 126 or by phone: 694-6751 (Voice/TTY) or 539-7153. More information is available at www.pstcc.edu/departments/swd/ |
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D. Other Policies: |
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Cell phones: Cell phones are to be either turned off or put on vibration mode while in class. Instructor discretion as to penalty. |
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