Standard

R State Standard £ Institutionally Developed College: N/A

MAT 1127 – Introduction to Statistics
Course Description
Discusses the concepts and methods fundamental to utilizing and interpreting commonly used statistics. Topics include: descriptive statistics, basic probability, discrete and continuous distributions, sampling distributions, hypothesis testing chi square tests, and linear regression.
Competency Areas		Hours
Descriptive Statistics		Class	5
Basic Probability		D. Lab	0
Discrete and Continuous Distributions		P. Lab/O.B.I.	0
Sampling Distributions		Credit	5
Hypothesis Testing
Chi Square Tests
Linear Regressions
Prerequisite:	Program admission level Math achievement.
Corequisite:

Course Guide

Competency	After completing this section, the student will be able to:	Hours
		Class	D.Lab	P.Lab/ O.B.I.
DESCRIPTIVE STATISTICS		3	0	0
Data display	Draw stem-leaf diagrams and histograms.
Data manipulation	Compute mean, median, mode, and standard deviation.
BASIC PROBABILITY		7	0	0
Events	Define events, compound events, and complementary events.
Probability rules	Compute probabilities for unions, intersections, and complements.
	Compute conditional probabilities.
DISCRETE AND CONTINUOUS DISTRIBUTIONS		10	0	0
Random variables	Demonstrate and understanding of the difference between discrete and continuous random variables.
Discrete random variables	Use probability distributions to compute expected value of a discrete random variable.
	Compute probabilities for binomially distributed random variables.
	Compute expected value and variance of a binomially distributed random variable.
Continuous random variables	Compute probabilities for normally distributed random variables.
	Use the normal distribution to estimate probabilities for binomially distributed random variables.
SAMPLING DISTRIBUTIONS		10	0	0
Central limit theorem	Use the normal distribution to compute probabilities for samples.
Sample size	Determine the sample size required to meet certain requirements for the standard deviation.
Confidence intervals	Determine large-sample and small-sample confidence intervals for population means.
HYPOTHESIS TESTING		10	0	0
Definitions	Explain the meaning of the null and alternative hypothesis.
	Define the meaning of a Type I (α) error.
	Define the meaning of a Type II (β) error.
Large sample test on population mean	Test a hypothesis about a population mean using a large sample (normal distribution).
Small sample test on population mean	Test a hypothesis about a population mean using a small sample (student’s t distribution).
CHI SQUARE TESTS		5	0	0
Hypothesis test	Compare two or more population proportions and test for differences in populations.
Goodness of fit	Test how well the binomial or normal distribution fit a data set.
LINEAR REGRESSION		5	0	0
Linear function to variable quantities	Fit a linear function to best represent the relationship between two variable quantities.
Correlation coefficient to random variables	Compute and evaluate the correlation coefficient to measure the relationship between two random variables.

Suggested Resources

Media (text/audio/ visual/www/ other)	Author	Title: Subtitle	Edition	Place of Publication	Year	Publisher/Publication	pp.
	Brase & Brase	Understandable Statistics	8^th Ed		(2006)	Houghton-Mifflin.
	Sharma, Kapoor, Goel, Chandera & Treadway	Introductory Statistics	2^nd Ed		(2005)	Educo International, Inc.
	Triola	Elementary Statistics	9^th Ed	Boston	(2004)	Pearson Education

Posted: 07/02/08