PREREQUISITE: MAT101 or higher, or placement; placement into ENG101 and college-level reading, or completion of ENG101S and RDG095

COREQUISITE: None

REQUIRED TEXTBOOK:

It is recommended (but are not required) that you purchase a 2nd, 3rd, 4th, or 5th edition copy of Fundamentals of Statistics, Sullivan; Pearson Education.

REQUIRED MATERIALS:

A graphing calculator (the TI-83, TI-83 Plus, or TI-84 Plus) 

COURSE OBJECTIVES:

As the 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
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 (explanatory) 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 a variable 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 t  procedure to construct a confidence interval or 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. Calculate the value of a test statistic
34. Calculate a p-value
35. Make a decision and conclusion for a hypothesis test (based on a p-value)
36. Explain the meaning of a Type I Error and a Type II Error

 

SUNY GENERAL EDUCATION LEARNING OUTCOMES:

Students will demonstrate the ability to:

1. interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics;
2. represent mathematical information symbolically, visually, numerically and verbally;
3. use arithmetical, algebraic, geometric and statistical methods to solve problems;
4. estimate and check mathematical results for reasonableness; and
5. recognize the limits of mathematical and statistical methods.

GENERAL TOPICS OUTLINE:

1. Introduction to Statistics (textbook chapter 1)- including population, sample, and types of variables
2. Data Collection (textbook chapter 1)- including sampling, observational studies, and experiments
3. Descriptive Statistics for One-Variable Data (textbook chapters 2 and 3)- including graphing and measures of center, spread, and position
4. Descriptive Statistics for Two-Variable Data (textbook chapter 4)- including scatter plots, linear correlation, and regression
5. Probability (textbook chapter 5)
6. Probability Distributions for Discrete Random Variables (textbook chapter 6)
7. Probability Distributions for Continuous Random Variables (textbook chapter 7)- including the normal distribution
8. Sampling Distributions (textbook chapter 8)- including the Central Limit Theorem
9. Inferential Statistics (textbook chapters 9 and 10)- including estimation and hypothesis testing

The Math Department at CCC recommends that you review the following prerequisite topics before beginning MAT161: order of operations, solving linear equations, graphing linear functions, linear regression, and probability. You can do this from home by selecting any of the aforementioned topics on the math-tutorial websites listed below; there you will find mini-lectures, worked problems, practice problems and helpful tips.

Order of Operations
Solving Linear Equations
Solving Linear Equations
Graphing Linear Functions
Slope of a Line
Interpreting Slope and Y-Intercept
Slopes and Equations of Lines
Linear Regression
Linear Regression
Probability
Probability
Probability
Probability
Probability
Probability

Feel free to contact a member of the Math Department or the Math Department Chair.