Statistics Syllabus
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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
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
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,
two quarterly grades (doubled)
and the final exam (once).
**Most colleges will require a C (70) or better to transfer the credits.**