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:

ABSENCE - Failure to be present for a scheduled meeting of the class or arriving for the class more than ten minutes after the scheduled time for the class to begin.

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:

  1. Understand the role statistics plays in supporting decision making.
  2. Understand the strengths and weaknesses of statistical inference.
  3. Collect data and make accurate analysis of all the collected data.
  4. Solve problems by identifying what information is available and relevant to the problem.
  5. Solve problems by selecting or developing appropriate procedures and relationships.
  6. Solve problems by correctly applying the methods selected to the information available.
  7. Solve problems by verifying the validity and appropriateness of the solution.

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