MTH 241-242 Syllabus
Division: Arts and
Sciences Date: February 2014
Curricula in Which Course is Taught: Liberal Arts,
Science
Course Number and Title: MTH 241,
Statistics I and MTH 242, Statistics II
Credit Hours: 3 cr each Hours/Wk Lecture: 3 hrs each Hours/Wk Lab: 0
Lec/Lab Comb: 3 hrs
each
I.
Catalog
Description: MTH 241
covers descriptive statistics,
elementary probability, probability distributions, estimation, and hypothesis
testing. Prerequisites: a placement recommendation for MTH 241 and MTH 163 or
MTH 166 or equivalent. (Credit will not be awarded for both MTH 240 and MTH
241.) MTH 242 continues the study of estimation and hypothesis testing with
emphasis on correlation and regression, analysis of variance, chi-square tests,
and non-parametric methods.
II.
Relationship of
the course to curricula objectives in which it is taught:
This is a two part course in a yearlong study of statistics
that involves critical thinking and the use of mathematical reasoning that may
be applied to various disciplines.
III.
Required
background:
MTH 163 or equivalent
IV.
Course Content:
A.
Information for Decision Making
B.
Charts and Tables
C.
Frequency Distributions
D.
Measures of Central Tendency
E.
Relationships Among Averages
F.
Measures of Dispersion
G.
Range, quartiles, deciles, and percentiles
H.
Relative Dispersion and Skewness
I.
Interpreting Descriptive Measures
J.
Basic Probability Concepts and
Distributions
K.
Normal, Binomial, and Poisson
Distribution
L.
Statistical Inference
M.
Point and Interval Estimates
N.
Hypothesis Testing: Large Samples,
Small Samples, Proportion
O.
Analysis of Variance
P.
Chi-Square Tests
V.
Learner Outcomes The Student will be able to: |
VI. Evaluation |
A.
Identify different types of data B.
Prepare frequency and cumulative
frequency distributions for grouped and ungrouped data. C.
Read statistical graphs and use
the graphs to analyze the data D.
Calculate measures of center
(mean, median and mode and determine which it most appropriate E.
Calculate measures of dispersion
(range, variance and standard deviation) F.
Calculate measure of relative
position (percentiles, quartiles and standard scores) G.
Calculate probabilities H.
Explain the concept of sampling
distributions and the Central Limit Theorem. I.
Find areas under the standard
normal distribution J.
Construct Confidence Interval for
population mean and proportion K.
Perform tests for significance
(hypothesis tests) for Means,
Proportions L.
Perform Hypothesis Testing with Two Samples M.
Apply linear regression to estimate the
linear relationship between two variables |
Students
will be assessed by some combination of quizzes, tests, homework, and exams
as defined by faculty. Students will use calculators only after demonstrating
mastery of essential deductive skills without them. |
VII. This course supports the following objectives:
DCC Educational Objectives:
Critical
Thinking
Quantitative Reasoning