ROCHESTER
COMMUNITY & TECHNICAL COLLEGE
COMMON COURSE OUTLINE: Math 2208 - Elementary Statistics
A. CATALOG DESCRIPTION
MATH 2208 Fundamentals of Statistics
An introduction and overview of math statistics. Topics will include (but
not limited to) descriptive statistics, probability, and hypothesis testing.
Computers and graphics calculators will be used extensively throughout
the class in the classroom and computer lab setting.
(Prerequisites: MATH 0099 or 0100 or 1111 or appropriate placement score;
college level reading).
(4C). MNTC: Goal 2/CT, Goal 4/MA.
B. DATE LAST REVISED February 13, 2006
C. RECOMMENDED ENTRY SKILLS/KNOWLEDGE:
Understand and be able to apply Order of Operations to evaluate or simplify
algebraic expressions
Solve Equations: Linear, Quadratic, and Rational
Solve Equations, Literal Equations, and Formulas for a specific variable
Evaluate Equations for specified values of the variables.
Understand and be able to find the Slope of a Line.
Graph Linear Equations by
Plotting points
Slope-intercept method
Intercept method
Apply Properties of Exponents - integer and rational
Understand and be able to apply Basic Function Notation
Be able to set-up and solve Intermediate Level Application Problems
Be able to enter computations using sets of parentheses into the scientific
calculator
D. OUTLINE OF MAJOR CONTENT AREAS:
Understand and use Statistical Terminology
Classify the Types of Data
Describe and Identify the Types of Sampling Used
Summarize Data using Frequency Tables, Relative Frequency Tables, Cumulative
Frequency Tables, and their corresponding Histograms. Histograms may also
be produced using the computer and/or graphing calculator
Calculate measures of Central Tendency (mean, median, mode, midrange),
Dispersion Statistics (variance, standard deviation, range),
Measures of Position (percentiles, quartiles, deciles, Z-Score)
All of the above may be calculated using formulas, computer and/or graphing
calculator.
Determine the general Shape or Nature of the Distribution from Stem-and-Leaf
–Plots, from the
correct Histograms, and/or boxplots using a 5-number summary
The above may be generated using the computer and/or graphing calculator.
Solve Probability Problems involving simple or compound events,
independent or dependent events, and conditional probability
Find Probabilities through Simulation using the computer and/or graphing
calculator (optional)
Set-up and solve Applications of Baye’s Theorem (optional)
Set-up Probability Distributions and determine the mean, standard deviation,
variance, and expected
value
Set-up and solve probability problems involving Binomial, Uniform, and
Normal Distributions
All of the above may be calculated using formulas, computer and/or graphing
calculator.
Determine Probabilities from Normally Distributed sets of data
Apply the Central Limit Theorem to find probabilities involving the sample
mean
Use the Normal Distribution as an Approximation to the Binomial when applicable
All of the above may be calculated using formulas, computer and/or graphing
calculator.
Determine Interval Estimates from one and two samples to a specified level
of confidence and within a specified error for the population parameters
or their differences
All confidence intervals may be calculated using formulas, computer and/or
graphing calculator.
Determine Sample Sizes needed to estimate a parameter to a specified level
of confidence and
within a specified error
Run Hypothesis Tests on population parameters (one or two samples) using
the traditional, and/or
p-value approach
Test statistics and p-value may be calculated using formulas, computer
and/or graphing
calculator.
Calculate the Linear Correlation Coefficient and determine if a significant
positive, negative, or no
Linear Correlation exists between the two variables by running the appropriate
hypothesis test
Determine the Equation of the Regression Line from bivariate (paired)
data
Graph the Regression Line equation on the xy-axes along with the Scatter
Diagram
Use the Regression Line Equation to Predict the value for the y variable
when
substituting in an x value if significant linear correlation exist
The linear correlation coefficient and regression line equation may be
calculated using formulas, computer and/or graphing calculator.
Run One-Way or Two-Way ANOVA when testing hypotheses regarding population
means when
Applicable
Output involving One-Way or Two-Way ANOVA may be generated on the computer
and/or
graphing calculator.
Run a Non-Parametric test to test a hypothesis when applicable
Output involving non-parametric tests may be generated on the computer.
E. LEARNING OUTCOMES (GENERAL):
Student will be able to:
Calculate and interpret measures of center, dispersion and position
Find and interpret probabilities and expected values
Find and interpret confidence intervals
Find correlation coefficient and regression equation for a given data
set. Make predictions.
Run the appropriate hypothesis test on a given data set and draw a conclusion
from the resulting
test statistic and/or p-value.
Determine when to use a parametric vs. a non-parametric test for a given
data set.
Be able to do all of the above on a graphic calculator and computer.
Be able to analyze and interpret a computer printout.
F. LEARNING OUTCOMES (MNTC)
MNTC: Goal 2/CT, Goal 4/MA.
G. METHODS FOR EVALUATION OF STUDENT LEARNING:
1. Tests over covered Topics and/or
2. Quizzes and/or
3. Computer Labs and/or
4. Homework and/or
5. Group Assignments and/or
6. Comprehensive Final Exam
H. SPECIAL INFORMATION (A graphics calculator is required)
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