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Math 146 (formerly Math 240) Statistics
STATISTICS
Math&146
COURSE GOALS/OBJECTIVES:
Rigorous introduction to statistical methods and hypothesis testing. Includes descriptive and inferential statistics. Tabular and pictorial methods for describing data; central tendencies; mean; modes; medians; variance; standard deviation; quartiles; regression; normal distribution; confidence intervals; hypothesis testing, one and two-tailed tests. Applications to business, social sciences, and sciences. Graphing Calculator Required.
Prerequisite: Math 125, or Math&141 (formerly 130), or Math&145 (formerly 155) or equivalent with a grade of "C" or better.
COURSE CONTENT
1.1 What is Statistics?
1.2 Random Samples
1.3 Introduction to Experimental Design
2.1 Frequency Distributions, Histograms, and Related Topics
2.2 Bar Graphs, Circle Graphs, and Time-Series Graphs
2.3 Stem-and-Leaf Displays
3.1 Measures of Central Tendency: Mode, Median, and Mean
3.2 Measures of Variation
3.3 Percentiles and Box-and-Whisker Plots
Review
Exam 1
4.1 What is Probability?
4.2 Some Probability Rules – Compound Events
4.3 Trees and Counting Techniques
5.1 Introduction to Random Variables and Probability Distributions
5.2 Binomial Probabilities
5.3 Additional Properties of the Binomial Distribution
6.1 Graphs of Normal Probability Distributions
6.2 Standard Units and Areas Under the Standard Normal Distribution
6.3 Areas Under Any Normal Curve
6.4 Normal Approximation to the Binomial Distribution
Review
Exam 2
7.1 Sampling Distributions
7.2 The Central Limit Theorem
7.3 Sampling Distributions for Proportions
8.1 Estimating when is Known
8.2 Estimating when is Unknown
8.3 Estimating in the Binomial Distribution
8.4 Estimating and
9.1 Introduction to Statistical Tests
9.2 Testing the Mean
9.3 Testing a Proportion
9.4 Tests Involving Paired Differences (Dependent Samples)
9.5 Testing and (Independent Samples)
Review
Exam 3
10.1 Scatter Diagrams and Linear Correlation
10.2 Linear Regression and the Coefficient of Determination
10.3 Inferences for Correlation and Regression
Review
Final Exam
TEXTBOOK
Understandable Statistics, 9th Edition
Brase & Brase
Houghton Mifflin, 2009
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