# Statistics Syllabus

• Northeastern Clinton Central School

Paul Smith's College

Statistics

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

variables

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

proportion/percent/probability.

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

mean

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

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

Attendance

Class Participation

Punctuality

Behavior

Homework

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,