UW COLLEGES

DEPARTMENT OF MATHEMATICS

COURSE GUIDELINES

Course Title Statistical Analysis______________________

Course No. MAT 240__

Contact hrs/wk: Lecture __ Lecture/Discussion __3__ Lab ____

Course Prerequisites: A grade of C or better in MAT 211, MAT 221 or equivalent.

Catalog description: Elements of probability theory; collection and presentation of sample data; basic problems of statistical inference; applications, including quality control; regression; hypothesis testing.

Course content (list of topics normally covered):

Descriptive Statistics:

Describing data sets-

-frequency distributions,

-graphs of frequency distributions,

-stem-and-leaf displays

Descriptive Measures-

- mean, median, variance, standard deviation,

- quartiles and other percentiles

Probability:

Sample space and events

Axioms of probability

Conditional probability

Bayes’ Theorem

Independent events

Probability Distributions:

Random variable,

Mathematical expectation, variance

Discrete Random Variables:

- The Binomial Distribution,

- The Poisson Distribution,

- The Hypergeometric Distribution,

Continuous Random Variables:

- The Uniform Distribution,

-The Normal Distribution,

Joint discrete distribution

Sampling Distributions:

Sampling distribution of the mean and variance

The Central Limit Theorem

Parameter Estimation: Confidence intervals for the mean, proportion and variance

Hypothesis Testing:

Tests concerning the mean, proportion, variance

Tests concerning two means

Regression:

The method of least squares,

Linear regression,

Inference about regression parameters

Quality Control

Control charts for measurements,

Control charts for attributes

Content-based department proficiencies:

The successful student will:

Be able to …

· Describe and present data and information using summary statistics, tables, and graphical displays.

· Interpret summary statistics and visual data displays

· Select and use probability models describing sample data

· Make inferences about parent populations using confidence interval and hypothesis testing methods and check the appropriateness of the model

· Examine relationships among variables using regression techniques and check the appropriateness of the models

· Apply statistical process control charts and techniques to determine the stability of a process

· Utilize some statistical functions with software(e.g. Minitab, Excel)

Colleges-wide proficiencies assigned to course:

Students should be able to demonstrate the following:

A. Analytical skills Performance Indicators: Students should be able to:

1. Interpret and synthesize information and ideas.

4. Select and apply scientific and other appropriate methodologies.

B. Quantitative skills Performance Indicators: Students should be able to:

1. Solve quantitative and mathematical problems.

2. Interpret graphs, tables, and diagrams.

Representative textbooks used for the course:

Miller& Freund’s Probability and Statistics for Engineers by Richard Johnson,Irwin Miller,John Freund

Applied Statistics and Probability for Engineers by Douglas C. Montgomery, George C. Runger

Probability and Statistics for Engineers by Richard L. Scheaffer, James T. McClave

Applied Statistics for Engineers and Scientists by Jay L. Devore, Nicholas R. Farnum

Approved April 22, 2006