MA 214 Syllabus

Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 15705



Course Number:		MA 214

Course Title:		Probability and Statistics for Business Majors

Credits:		3 semester hours

Prerequisites:		none

Textbook:		Statistics for Business and Economics 
			by Anderson, Sweeney, and Williams
			5th edition

Revised:		9/93

Catalog Description:

Designed to introduce the study of probability theory, discrete random variables and probability distributions, empirical frequency distributions, theoretical frequency distributions, statistical investigations and sampling, and sampling distributions.

Course Outline/Time Schedule:

Class
Hours	Chapt	Section

1	1	1.1	Statistical Applications in Bus & Econ
		1.2	Data
		1.3	Scales of Measurement
		1.4	Data Acquisition
		1.5	Descriptive Statistics
		1.6	Statistical Inference

1	2	2.1	Summarizing Qualitative Data
		2.2	Summarizing Quantitative Data
		2.3	The Role of the Computer

2	3	3.1	Measures of Location
		3.2	Measures of Dispersion
		3.3	Uses of the Mean & Standard Deviation

1	3	3.4	Exploratory Data Analysis
		3.5	The Role of the Computer
		Computer:  Introduction to Minitab (descriptive statistics, boxplots, stem-and-leaf, dotplots, histograms, etc)

1	4	4.1	Experiments, the Sample Space, and Counting Rules
		4.2	Assigning  Probabilities to Experimental Outcames

1		4.3	Events and Their Probabilities
		4.4	Some Basic Relationshiips of Probability

1		4.5	Conditional Probability
		
1		4.6	Bayes' Theorem

1	5	5.1	Random Variables
		5.2	Discrete Probability Distributions

1		5.3	Expected Value and Variance

1		5.4	The Binomial Probability Distribution
		5.5(*)The Poisson Probability Distribution 
		Computer:  Demonstration of Distributions and graphs

2	6	6.1	The Uniform Probability Distribution
		6.2	The Normal Probability Distribution
		(Omit: Normal approx. to Binomials)

1	7	7.1	The Electronics Associates Sampling Problem
		7.2	Simple Random Sampling
		7.3	Point Estimation
		7.4	Introduction to Sampling Distributions

2		7.5	Sampling Distribution of 
		Computer:  Demonstration of sampling distribution of the mean

1		7.6	Sampling Distribution of 
		7.7	Properties of Point Estimators

1	8	8.1	Interval Estimation of a Population Mean:  Large-Sample Case

1		8.2	Interval Estimation of a Population Mean:  Small-Sample Case

2		8.3	Determining the Sample Size
		8.4	Interval Estimation of a Population Proportion
		Computer:  Interval estimates

1	9	9.1	Developing Null and Alternative Hypotheses
		9.2	Type I and Type II Errors

1		9.3	One-Tailed Hypothesis Tests About a Population Mean:  Large-Sample Case

1		9.4	Two-Tailed Hypothesis Tests About a Population Mean:  Large-Sample Case

1		9.5	Hypothesis Tests about a Population Mean:  Small-Scale Case

1		9.6	Hypothesis Tests about a Population Proportion
		Computer:  Hypothesis testing with p-values

1		9.7(*)Hypothesis Testing and Decision Making
		9.8(*)Calculating the Probability of Type II Errors
		9.9(*)Determining the Sample Size for a Hypothesis Tests about a 			Population Mean

1	10	10.1	Estimation of the Difference between the Means of Two Populations:  Independent Samples

1		10.2	Hypothesis:  Tests about the Difference between the Means of Two Populations:  Independent Samples

1		10.3	Inferences about the Difference between the Means of Two Populations:  Matched Samples
1		10.4(*)Inferences about the Difference between the Proportions of 			Two Populations

	11	11.1	Inferences about a Population Variance
		11.2	Inferences about the Variances of Two Populations

1	14	14.1	The Least Squares Method
		14.2	The Coefficient of Determination
		14.3	The Regression Model and Its Assumptions

1		14.5(*)Estimation and Prediction
		14.7(*)Residual Analysis:  Testing Model Assumptions
		14.8(*)Residual Analysis:  Outliers and Influential Observations
		Computer:  Demonstration of Regression printouts

1		14.4	Testing for Significance
		14.6	Computer Solution of Regression Problems

1		14.9	Correlation Analysis

Total of 36 Class hours

Note 1: There are 6 hours for tests, computer work, and some topics recommended for discussion but not for testing.

Note 2: (*) sections are to be talked about briefly, perhaps working through an example or a computer demonstration. But no assignments or test questions are recommended for these sections


	Chapter 5, Section 5.5
	Chapter 9, Sections 9.7 through 9.9
	Chapter 10, Section 4
	Chapter 11, Sections 1 and 2
	Chapter 14, Sections 5, 7, and 8

Note 3: There is not list of suggested exercises. One will be compiled from lists turned in to Dr. Bertness for Spring 93-94.

Note 4: There is a supplement "Exploring Statistics with Minitab" for this text. In addition, copies of G. Stoudt's computer manual and C. Bertness's computer handouts are available for review in the faculty lounge. (Please fill out the signout sheet i f you are taking them out of the lounge.)

Note 5: Data Sets are available from Elaine on 3.5 in. disks (Both Minitab format and ASCII format for Vax)

Note 6: You can copy the data sets into a vax account by doing the following: 1) Log into account where you want to place data files, 2) type the following command at the $ prompt: copy Ldisk$math:[math.data-214]*.*;* []

Read this disclaimer.

Maintained by Charles Lamb <clamb@iup.edu>
Last Modified on Monday, 13-Aug-2001 16:53:18 EDT