Description:

This is a beginning course in calculus-based statistical analysis, the skill of making sense of raw data -- constructing graphical representations of data, developing models for making predictions, performing tests to determine significant change and finding intervals for population values. Students must have an understanding of calculus concepts in order to successfully complete this course. Students will learn the basics of descriptive statistics, probability, sampling, confidence intervals, hypothesis testing and linear regression. The course will stress the applications to business with emphasis on quality control. 4 hrs./wk. Students transferring MATH 285 to KU must have CIS 201 as a corequisite.

Associated Costs: These are additional (out-of-pocket) expense considerations that students should expect in addition to the course tuition, fees, and textbooks. $0 to $100.

Supplies: Refer to the instructor’s course syllabus for details about any supplies that may be required.

Textbook(s): For information see - http://bookstore.jccc.net

Course Fees: NONE

Course Objectives:

Upon successful completion of this course the student should be able to:

1. Organize data using statistically valid methods.
2. Use a computer to perform statistical calculations; analyze the statistics in computer printouts.
3. Describe data using measures of central tendency and measures of dispersion.
4. Use sample spaces, formulas, and the laws of probability to solve problems.
5. Construct probability distributions; calculate expected value and variance for a probability density function.
6. Construct confidence intervals; explain the meaning in terms of the problem.
7. Perform hypothesis tests; explain the conclusion using the language of statistics
8. Perform linear regression.

Content Outline & Competencies:

I. Basic Descriptive Statistics:  Organizing and describing data
   A. For a given set of data, draw a dotplot, histogram, stem-and-leaf
diagram, and a boxplot.
   B. Describe the general shape of data, skewed left, skewed right, or
symmetric;  analyze the measure of skewness for a set of data.
   C. Calculate the measures of central tendency including mean, median,
and mode.
   D. Calculate the measures of dispersion including range, variance, and
standard deviation;  explain the meaning of standard deviation as it
relates to a problem.
   E. Use a computer package to enter data and analyze results.

II. Introduction to Probability:  Finding the theoretical probability of
an event
   A. Construct the sample space for an experiment.
   B. Use the Fundamental Counting Rule to predict the number of things in
a sample space.
   C. Determine whether or not two events are mutually exclusive.
   D. Determine whether or not two events are independent.
   E. Calculate conditional probabilities.
   F. Calculate covariance using two variables.

III. Random Variables and Probability Density Functions (p.d.f.)
   A. List all possible values of a random variable along with its
probabilities.
   B. Use calculus to generate the cumulative density function.
   C. Determine the expected value and the variance of a discrete p.d.f.
   D. Determine the expected value and the variance of a continuous
p.d.f.
   E. Determine the covariance and correlation of a discrete joint p.d.f.
   F. Determine the covariance and correlation of a continuous joint
p.d.f.

IV. Special Probability Density Functions:  Using statistics in the “real
world”
   A. Use the Binomial p.d.f. to solve problems with two outcomes and
independent events.
   B. Use the Hypergeometric p.d.f. to solve game problems, such as
lotteries and card games.
   C. Use the Poisson p.d.f. to solve occurrences of events that happen
randomly over time, such as customers entering a store.
   D. Use the Exponential p.d.f. to solve the time between events such as
the predicted time between customers.
   E. Use the Normal p.d.f. to solve problems that are normally
distributed.
   F. Use the Normal p.d.f. to solve problems that satisfy conditions for
a normally distributed random variable.

V. Random Sampling and Sampling Theory: Generating distributions for
sample means
   A. Calculate the mean for a distribution of sample means.
   B. Calculate the standard deviation for a distribution of sample
means.
   C. Perform a normal probability plot;  describe the shape of the
population based on the plot.
   D. Analyze the Central Limit Theorem.

VI. Estimating the Mean: Using statistics to determine averages and
deviations of a population
   A. Construct a confidence interval for a population mean with known
population standard deviation; explain the meaning in terms of a problem.
   B. Construct a confidence interval for a population mean with unknown
population standard deviation; explain the meaning in terms of a problem.
   C. Construct a confidence interval for a population proportion; 
explain the meaning in terms of a problem.
   D. Construct a confidence interval for a population median.
 E. Construct a confidence interval for a population standard deviation.

VII. Hypothesis Tests: Finding significance
   A. Perform a hypothesis test for a population mean using a sample mean
when the population standard deviation is known.
   B. Perform a hypothesis test for a population mean using a sample mean
when the population standard deviation is unknown.
   C. Perform a hypothesis test for a population proportion using a sample
proportion.
   D. Perform a hypothesis test for two population means.
   E. Perform a hypothesis test with more than two categories.
   F. Explain Type I and Type II errors with respect to a problem.

VIII. Linear Regression: Making predictions with linear data
   A. Calculate a linear regression equation; explain the equation in
terms of the problem.
   B. Use a linear regression equation to make predictions about data.
   C. Calculate the coefficient of determination for a linear regression
equation; use the coefficient of determination to explain the strength of
the regression equation.

IX. Quality Control:  Using statistics in the work setting
   A. Provide a brief history of quality control including a discussion of
W. Edwards Deming.
   B. Construct basic control charts using the distributions learned in
the course.

Methods of Evaluation of Competencies:

Evaluation of student mastery of course competencies will be accomplished using the following methods:

Unit Exams, Unit Papers and/or Unit Projects  40% - 80%
Homework, Quizzes and/or Small Projects        0% - 50%
 Final Exam**                                 10% - 40%

**The final exam must count at least as much as any unit exam, unit paper
or unit project. In any course where unit exams are not proctored, the
instructor may require that the student score at least a 70% on the final
exam to earn a ‘C’ for the course.  At the instructor's discretion, the
grade on all or any part of the final exam may replace any lower test
score.

Caveats:

1. The majority of mathematics courses are sequential. Students must earn a grade of C or higher in a prerequisite mathematics course to progress to its subsequent mathematics course.
2. In accordance with the assertion made on your billing statement, during the first two weeks of the semester, if a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course. He/she will be allowed to enroll in the appropriate lower level math course on a space available basis with an even exchange of tuition. After the first two weeks, students who have not met the prerequisite(s) will be dropped from the course with no refund of tuition.

Disabilities:

If you are a student with a disability, and if you will be requesting accommodations, it is your responsibility to contact Access Services. Access Services will recommend any appropriate accommodations to your professor and his/her director. The professor and director will identify for you which accommodations will be arranged.

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you desire support services, contact the office of Access Services for Students With Disabilities (913) 469-8500, ext. 3521 or TDD (913) 469-3885. The Access Services office is located in the Success Center on the second floor of the Student Center.