COURSE OUTLINE
Midlands Technical College
MAT 120 PROBABILITY AND STATISTICS
3.0 Credit Hours
COURSE DESCRIPTION: This course includes the following topics: introductory probability and statistics, including organization of data, sample space concepts, random variables, counting problems, binomial and normal distributions, central limit theorem, confidence intervals, and hypothesis testing for large and small samples; Types I and II errors; linear regression; and correlation.
TEXT: Elementary Statistics: A Step by Step Approach, Sixth Edition by Allan G. Bluman McGraw-Hill, 2007
PREREQUISITE: MAT 102
REQUIRED: Graphing Calculator, preferably TI-83, TI-83+ or TI-84.
GRADING SCALE:
A 90 - 100 B 80 - 89 C 70 - 79 D 60 - 69 F Below 60
MATHEMATICS DEPARTMENT ATTENDANCE REQUIREMENTS
DEFINITIONS:
TARDY --- Arrival to class after the instructor has called the roll and before ten minutes past the time scheduled for the class to begin.
I. Absences are counted from the first day of classes.
II. Five absences are allowed for a class that meets three times per week, and three absences for a class that meets two times per week.
III. Three tardies are considered as one absence. The student must meet with the instructor at the end of the class to which he has been late to have the absence changed to a tardy.
IV. There are no "excused" absences; all absences are counted, regardless of the reason for the absence.
V. A student missing class time by leaving early will also be counted absent.
Please note: You are responsible for all material and announcements presented, whether you are present or absent.
Mathematics Department Airport: 822-3357 Beltline: 738-7689 Revised 2/21/2007
MAT 120 Course Objectives
Students should be able to:
MAT 120 PROBABILITY AND STATISTICS
Note: This outline is given for the regular Fall/Spring fourteen week semesters. The same material is covered in the summer term and the session classes, but in the appropriate fewer number of weeks; ten weeks for summer term, seven weeks for fall and spring session classes, and five weeks for summer session classes.
| WEEK |
TOPIC |
SECTION |
| 1 | The Nature of Probability and Statistics | |
| Introduction | 1.1 | |
| Descriptive and Inferential Statistics | 1.2 | |
| Variables and Types of Data | 1.3 | |
| Data Collection and Sampling Techniques | 1.4 | |
| Observational and Experimental Studies | 1.5 | |
| 2 | Uses and Misuses of Statistics | 1.6 |
| Computers and Calculators | 1.7 | |
| Frequency Distribution and Graphs | ||
| Introduction | 2.1 | |
| Organizing Data | 2.2 | |
| Histograms, Frequency Polygons and Ogives | 2.3 | |
| 3 | Other types of Graphs | 2.4 |
| Data Description | ||
| Introduction | 3.1 | |
| Measures of Central Tendency | 3.2 | |
| Measures of Variation | 3.3 | |
| 4 | Measures of Position | 3.4 |
| TEST 1 | ||
| Probability and Counting Rules | ||
| Introduction | 4.1 | |
| Sample Spaces and Probability | 4.2 | |
| 5 | The Addition Rules for Probability | 4.3 |
| The Multiplication Rules and Conditional Probability | 4.4 | |
| Counting Rules | 4.5 | |
| 6 | Probability & Counting Rules | 4.6 |
| TEST 2 | ||
| Discrete Probability Distributions | ||
| Introduction | 5.1 | |
| Probability Distributions | 5.2 | |
| 7 | Mean, Variance, Standard Deviations and Expectation | 5.3 |
| The Binomial Distribution | 5.4 | |
| The Normal Distribution | ||
| Properties of Normal Distribution | 6.2 | |
| 8 | The Standard Normal Distribution | 6.3 |
| Applications of the Normal Distribution | 6.4 | |
| 9 | The Central Limit Theorem | 6.5 |
| The Normal Approximation to the Binomial Distribution | 6.6 | |
| TEST 3 | ||
| 10 | Confidence Intervals and Sample Size | |
| Introduction | 7.1 | |
| Confidence Intervals for the Mean (s known or n > 30) | 7.2 | |
| Confidence Intervals for the Mean (s unknown or n < 30) | 7.3 | |
| 11 | Confidence Intervals and Sample Size for Proportions | 7.4 |
| Hypothesis Testing | ||
| Introduction | 8.1 | |
| Steps in Hypothesis Testing - Traditional Method | 8.2 | |
| 12 | z Test for a Mean | 8.3 |
| t Test for a Mean | 8.4 | |
| a Test for a Proportion | 8.5 | |
| 13 | TEST 4 | |
| Correlation and Regression | ||
| Introduction | 10.1 | |
| Scatter Plots | 10.2 | |
| Correlation | 10.3 | |
| 14 | Regression | 10.4 |
| Coefficient of Determination and Standard Error of the Estimate | 10.5 | |
| TEST 5 | ||
| Final Project or Examination |