Maricopa Community Colleges  MAT206   20086-99999 
Official Course Description: MCCCD Approval: 03/25/08
MAT206 20086-99999 LEC 3 Credit(s) 3 Period(s)
Elements of Statistics
Basic concepts and applications of statistics, including data description, estimation and hypothesis tests.
Prerequisites: (A grade of "C" or better in MAT140 or MAT141 or MAT142) or (A grade of "C" or better in MAT150 or MAT151 or MAT152) or equivalent, or satisfactory score on District placement exam.
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MCCCD Official Course Competencies:
 
MAT206   20086-99999 Elements of Statistics
1. Identify the difference between descriptive and inferential statistics. (I)
2. Distinguish between a population and a sample. (II)
3. Group a set of data and present the grouping in graphical form. (II)
4. Determine the mean, median, mode and standard deviation of data set and find the z-score for a data piece. (III)
5. Define random variable and the probability distribution of a random variable. (IV)
6. Find probabilities for normal random variables by using the standard normal distribution. (V)
7. Construct random samples. (VI)
8. Graph the sampling distribution of the mean for all sample sizes and all populations. (VI)
9. Find point and interval estimates of population means and proportions. (VII)
10. Describe the logic of hypothesis testing emphasizing the role of probability distributions and types of error. (VIII)
11. Perform inferences about one mean or proportion in the case of normal populations or large sample size. (VIII)
12. Perform inferences about two means or proportions in the case of normal populations or large sample size. (IX)
13. Use the Chi-square goodness-of-fit test to determine if two populations have the same shape. (X)
14. Use the Chi-square independence test to determine whether two characteristics of a population are associated (dependent). (X)
15. Identify the best-fitting regression line for a set of data points. (XI)
16. Partition the total sum of squares for a set of data points to find measures of regression line fit and linear relationship. (XI)
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MCCCD Official Course Outline:
 
MAT206   20086-99999 Elements of Statistics
    I. Nature of Statistics
        A. Inferential vs. Descriptive Statistics
        B. Classification of Statistical Studies
        C. Development of Inferential Statistics
      II. Organizing Data
          A. Types of Data
          B. Grouping Data
          C. Stem-and-leaf Diagrams
          D. Misleading Graphs
        III. Descriptive Measures
            A. Measures of Central Tendency
            B. Summation Notation: the Sample Mean
            C. Measures of Dispersion: the Sample Standard Deviation
            D. Interpretation of the Standard Deviation: z-scores
            E. Percentiles: box-and-whisker Diagrams
          IV. Probability Concepts
              A. Introduction: Classical Probability
              B. Discrete Random Variables: Probability Distributions
            V. Normal Distribution
                A. Standard Normal Curve
                B. Normal Curves
                C. Normally Distributed Populations
                D. Normally Distributed Random Variables
              VI. Sampling Distributions
                  A. Sampling: Random Samples
                  B. Sampling Error: the Need for Sampling Distributions
                  C. The Mean and Standard Deviation of the Sample Mean
                  D. The Sampling Distribution of a Mean
                  E. The Sampling Distribution of a Proportion
                VII. Inferential Statistics - Estimation - One Population
                    A. Estimating a Population Mean
                    B. Estimating a Population Proportion
                    C. Confidence Intervals for one Population Mean
                    D. Confidence Intervals for one Population Proportion
                    E. Sample Size Considerations
                    F. Confidence Intervals for a Normal Population
                  VIII. Inferential Statistics - Hypothesis Testing - One Population
                      A. The Nature of Hypothesis Testing
                      B. Terms, Errors, and Hypotheses
                      C. Large Sample Hypothesis Tests for a Population Mean
                      D. Large Sample Hypothesis Tests for a Population Proportion
                      E. Hypothesis Tests for a Normal Population
                    IX. Inferential Statistics - Two Populations
                        A. Confidence Intervals Concerning Two Population Means
                        B. Confidence Intervals Concerning Two Population Proportions
                        C. Hypothesis Tests Concerning Two Population Means
                        D. Hypothesis Tests Concerning Two Population Proportions
                        E. Independent Samples
                        F. Paired Samples
                      X. Chi-square Procedures
                          A. The Chi-square Distribution
                          B. Chi-square goodness-of-fit test
                          C. Chi-square Independence Test
                        XI. Methods in Linear Regression
                            A. Linear Equations with One Dependent Variable
                            B. Regression Equation
                            C. Coefficient of Determination
                            D. Linear Correlation
                            E. Inferences in Correlation
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