Statistics Syllabus

  • Northeastern Clinton Central School

    Paul Smith's College



    Instructor: Patricia K. Stein

    Semester: Spring 2019

    Course Title: Statistics  MAT 210

    Contact Hours: 3

    Credit Hours: 3


    Course Description:

    This is an introductory course in statistics, designed to familiarize the student with data

    distributions; (numerical and graphical) exploratory data analysis; correlation and linear

    regression; the normal and binomial probability distributions; confidence intervals and

    some hypothesis testing.


    Prerequisite: 3 years of high school math


    Course Objectives:

    As a result of instructional activities, students will be able to:

    1. Distinguish between a population and a sample

    2. Distinguish between descriptive statistics and inferential statistics

    3. Distinguish between different types of variables (continuous quantitative, discrete

         quantitative, nominal qualitative and ordinal qualitative)

    4. Distinguish between observational studies and experiments

    5. Distinguish between different types of sampling designs ( voluntary response,

         Convenience, simple random and stratified random)

    6. Design an experiment using randomization, replication and control of extraneous


    7. Choose and draw appropriate graphs for data sets (Using Excel)

    8. Identify outliers in data sets

    9. Explain the effects of outliers

    10. Identify the shape of a distribution

    11. Choose, calculate and interpret appropriate numerical summaries of center,

            spread and position for one-variable data sets

    12. Distinguish between predictor and response variables

    13. Draw a scatter plot

    14. Determine whether or not linear regression is appropriate for a data set

    15. Calculate and interpret the correlation coefficient

    16. Write the equation of a regression line

    17. Use a regression equation to make predictions

    18. Calculate and interpret the coefficient of determination

    19. Calculate probabilities using basic rules of probability

    20. Construct the probability distribution for a discrete random variable

    21. Identify the attributes of the normal distribution

    22. Find probabilities associated with the standard normal distribution

    23. Calculate z-scores

    24. Use standardization to find proportions/percents/probabilities associated with a

            normal distribution.

    25. Use un-standardization to find the value of variables associated with a given


    26. Describe the sampling distribution of the sample mean (including center, spread

           and shape)

    27. Explain the Central Limit Theorem

    28. Calculate probabilities associated with the sampling distribution of the, sample


    29. Identify the requirements that must be met in order to use the one sample z

            procedure to construct a confidence interval to perform  a hypothesis test.

    30. Construct and interpret a confidence interval to estimate a population mean

    31. Explain the effects of changes in confidence level and sample size on a

           confidence interval.

    32. State the null and alternative hypotheses for a hypothesis test

    33. C,aJ.6ulateJhe value of a test statistic

    34. Calculate a p-value

    35.' Make a decision and conclusion for a hypothesis test{based.onap-,yalue9-,'. - -

    36. Explain the meaning of a Type I Error and a Type II Error .


    Required Textbook: . .

    Fundamentals of Statistics, 1 stedition; Su.lliv.:an .. Prentice,Hall.ISBN# 0..,1:3-146449-3


    Required Materials:

    A Graphing Calculator (the TI-83 , TI.83 Plus, or TI.84 Plus are strongly recommended)NCCS will supply during the class period.


    General Topics Outline:

    I. Introduction to Statistics (textbook chapter 1)

         Including population, sample, and types of variables

    II. Data Collection (textbook chapter 1) _

          Including sampling, observational studies, and experiments

    III. Descriptive, Statistics for One-Variable Data (textbook chapters 2 and 3)

          Including graphing and measures of center, spread, and position

    IV. Descriptive Statistics Jor Two-Variable Data (textbook chapter 4)

           Including scatter plots, linear correlation, .and regression.

    V.  Probability (textbook chapter 5)

    VI. Probability Distributions for Discrete Random Variables (textbook chapter 6)

    VII. Probability Distributions for Continuous Random Variables (textbook

            chapter 7) Including the normal distribution

    VIII. Sampling Distributions (textbook chapter 7)

             Including the Central Limit Theorem

    IX. Inferential Statistics (textbook chapters 8 and 9)

            Including estimation and hypothesis testing






    Grading Policy:

    The quarterly grade for this course will be from four pieces of data .

    Test average = 40%

    Quizzes  = 25%

    Projects = 25%

    Teacher Evaluation = 10%


    Tests are usually on full chapters and are announced.

     Scored from 0 ... 100.

    Make ups will not exceed one per year and cannot be scored higher than 85%.

    Teacher Evaluation is a score from 0 to 100

    Based on class participation and may include but is not limited to such things as:


    Seeking help when having difficulty


    Class Participation




    Respect for other students and teacher

    Respect for substitutes

    Availability of materials (pencil, straightedge, paper, etc.)

    Compliance with school rules


    The final grade is the average of five scores,

     two quarterly grades (doubled)

    and the final exam (once).


    **Most colleges will require a C (70) or better to transfer the credits.**