Genesee Course Catalog

Official Course Information

Please select a Course Section from the List below or use the Search box on the right if you know the Title.

Mathematics Courses:

MAT129 - Statistics
Credits: 3 Catalog Description: Studies descriptive data with graphical and numerical techniques, binomial and normal probability distributions, estimation and sampling, hypothesis testing, and linear regression models. Emphasis is on practical applications, including using MINITAB software. Prerequisite: Math skills equivalent to MAT092 or higher. Lecture: 3 hrs. Student Performance Outcomes: Upon completion of an Elementary Statistics course, students are expected to be able to do the following, either by hand (using a scientific calculator for computations) on an exam or, where possible, using Minitab statistical software for a collected assignment: 1. Given a set of measurements, generate a graphical display (such as a frequency distribution or histogram) 2. Given a set of measurements, compute the basic measures of central tendency (mean, median, mode) and dispersal (range, variance, standard deviation). 3. Given the graph of a distribution of measurements, or a description of such a graph, apply Empirical Rule or Chebyshev's Theorem to describe the distribution of data and identify the existence of any outliers. 4. Compute simple theoretical and empirical probabilities, applying the Addition, Multiplication, and Complement Rules as needed.* 5. Given a discrete random variable x, generate a probability distribution (empirically or theoretically) and/or verify that the distribution is valid 6. Given a valid discrete probability distribution, find simple probabilities and compute the mean and standard deviation of the random variable associated with the distribution.* 7. Given a table of probabilities for the standard normal curve, find probabilities for any given normal distribution or, given the area of any segment under the normal curve, find the associated z - value or x - value.* 8. Given a randomly distributed population, use the Central Limit Theorem to describe any corresponding sampling distribution and find probabilities associated with the sample mean. 9. Given appropriate sample data, formulate a confidence interval for the mean or binomial proportion. 10. Given an appropriate test scenario and sample data, conduct a test of hypothesis for the mean or binomial proportion. 11. Given any set of paired sample data, find the line of best fit and correlation coefficient. * This course objective has been identified as a student learning outcome that must be formally assessed as part of the College's Comprehensive Assessment Plan. All faculty teaching this course must collect the required data (see Assessing Student Learning Outcomes form) and submit the required analysis and documentation at the conclusion of the semester to the Office of Assessment and Special Projects. Content Outline: I. Introduction and Descriptive Statistics A. Organizing Data 1. Grouping data 2. Graphs and charts 3. Stem-and-leaf diagrams B. Descriptive Measures 1. Measures of central tendency a. Mean b. Mode c. Median 2. Measures of dispersion a. Range b. Standard deviation c. Empirical Rule 3. Measures of position a. Percentiles b. Quartiles C. Populations vs. Samples II. Probability Concepts A. Classical Probability 1. Sample space and events 2. Laws of probability B. Discrete Random Variables 1. Probability distributions 2. Mean and standard deviation 3. Binomial probability distribution C. Normal Distribution 1. Normal curves 2. Normally distributed populations 3. Normal approximation to the binomial distribution III. Sampling A. Random samples B. Central limit theorem C. Sampling distribution of the mean IV. Inferential Statistics A. Confidence intervals for the mean 1. Large sample confidence intervals for the mean 2. Sample size considerations 3. Confidence intervals for a normal population mean B. Hypothesis tests for the mean 1. Nature of hypothesis testing 2. Large sample hypothesis tests for a population mean C. Inference for two means or proportions (optional, time permitting) 1. Large sample inference for two population means 2. Two normal populations with equal standard deviations V. Bivariate Data 1. Linear regression 2. Linear correlation Grading: Hourly exams Quizzes Lab exercises Comprehensive Final Effective Term: Spring 2003

MAT129 - Statistics

Credits: 3

Catalog Description: Studies descriptive data with graphical and numerical techniques, binomial and normal probability distributions, estimation and sampling, hypothesis testing, and linear regression models. Emphasis is on practical applications, including using MINITAB software. Prerequisite: Math skills equivalent to MAT092 or higher.

Lecture: 3 hrs.

Student Performance Outcomes:
Upon completion of an Elementary Statistics course, students are expected to be able to do the following, either by hand (using a scientific calculator for computations) on an exam or, where possible, using Minitab statistical software for a collected assignment:

1. Given a set of measurements, generate a graphical display (such as a frequency distribution or histogram)
2. Given a set of measurements, compute the basic measures of central tendency (mean, median, mode) and dispersal (range, variance, standard deviation).
3. Given the graph of a distribution of measurements, or a description of such a graph, apply Empirical Rule or Chebyshev's Theorem to describe the distribution of data and identify the existence of any outliers.
4. Compute simple theoretical and empirical probabilities, applying the Addition, Multiplication, and Complement Rules as needed.*
5. Given a discrete random variable x, generate a probability distribution (empirically or theoretically) and/or verify that the distribution is valid
6. Given a valid discrete probability distribution, find simple probabilities and compute the mean and standard deviation of the random variable associated with the distribution.*
7. Given a table of probabilities for the standard normal curve, find probabilities for any given normal distribution or, given the area of any segment under the normal curve, find the associated z - value or x - value.*
8. Given a randomly distributed population, use the Central Limit Theorem to describe any corresponding sampling distribution and find probabilities associated with the sample mean.
9. Given appropriate sample data, formulate a confidence interval for the mean or binomial proportion.
10. Given an appropriate test scenario and sample data, conduct a test of hypothesis for the mean or binomial proportion.
11. Given any set of paired sample data, find the line of best fit and correlation coefficient.

* This course objective has been identified as a student learning outcome that must be formally assessed as part of the College's Comprehensive Assessment Plan. All faculty teaching this course must collect the required data (see Assessing Student Learning Outcomes form) and submit the required analysis and documentation at the conclusion of the semester to the Office of Assessment and Special Projects.

Content Outline:
I. Introduction and Descriptive Statistics
A. Organizing Data
1. Grouping data
2. Graphs and charts
3. Stem-and-leaf diagrams
B. Descriptive Measures
1. Measures of central tendency
a. Mean
b. Mode
c. Median
2. Measures of dispersion
a. Range
b. Standard deviation
c. Empirical Rule
3. Measures of position
a. Percentiles
b. Quartiles
C. Populations vs. Samples

II. Probability Concepts
A. Classical Probability
1. Sample space and events
2. Laws of probability
B. Discrete Random Variables
1. Probability distributions
2. Mean and standard deviation
3. Binomial probability distribution
C. Normal Distribution
1. Normal curves
2. Normally distributed populations
3. Normal approximation to the binomial distribution

III. Sampling
A. Random samples
B. Central limit theorem
C. Sampling distribution of the mean

IV. Inferential Statistics
A. Confidence intervals for the mean
1. Large sample confidence intervals for the mean
2. Sample size considerations
3. Confidence intervals for a normal population mean
B. Hypothesis tests for the mean
1. Nature of hypothesis testing
2. Large sample hypothesis tests for a population mean
C. Inference for two means or proportions (optional, time permitting)
1. Large sample inference for two population means
2. Two normal populations with equal standard deviations

V. Bivariate Data
1. Linear regression
2. Linear correlation

Grading:
Hourly exams
Quizzes
Lab exercises
Comprehensive Final

Effective Term: Spring 2003