Chabot College
Fall 2009
Course Outline for Mathematics 35
STATISTICS FOR BUSINESS MAJORS
Catalog Description:
35 - Statistics for Business Majors
4 Units
Introduction to modern probability, descriptive statistics, estimation, hypothesis testing (one and two
sample) and linear regression. Applications to business and economics. Introduction to the use of a
computer software package to complete both descriptive and inferential statistics problems.
Prerequisite: Mathematics 1 or 15 (completed with a grade of C or higher; may be taken
concurrently.) Strongly recommended: Eligibility for English 1A. 4 hours lecture. 1 hour laboratory.
[Typical contact hours: lecture 70, laboratory 17.5]
Prerequisite Skills:
Before entering the course the student should be able to:
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demonstrate a working knowledge of the Cartesian coordinate system including: slope of a line,
equation of a line, delta notation;
demonstrate an understanding of the nature of a function;
graph algebraic and trigonometric functions;
explain limits and continuity of functions;
use Newton's method;
apply the definition of the derivative of a function;
demonstrate the knowledge of the definitions of velocity and acceleration;
differentiate algebraic and trigonometric functions;
use the chain rule;
find all maxima, minima and points of inflection on an interval;
apply implicit differention to solve related rate problems;
apply the Mean Value Theorem;
use the definite integral as the limit of a Riemann sum;
demonstrate the knowledge of the fundamental Theorem of Integral Calculus;
demonstrate the understanding of differentials and their applications.
Expected Outcomes for Students:
Upon completion of the course the student should be able to:
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take raw data and compile a frequency table from which frequency histograms and relative
frequency histograms can be drawn;
2. calculate the mean, median, mode, variance and standard deviation of a distribution;
3. demonstrate the fundamental concepts of probability and be able to calculate probabilities of
various independent and dependent events;
4. demonstrate the knowledge of the nature of the binomial distribution and the normal distribution,
as well as properties of the normal probability curve;
5. use tables of standard z values and student's t distribution;
6. describe the differences betweens samples and populations, sampling methods, and
experimental designs;
7. calculate confidence intervals and tests of significance for one and two samples;
8. demonstrate the procedure and uses of correlation and regression;
9. demonstrate the use of computer software packages as they pertain to histograms, regression
analysis, confidence intervals, and hypothesis tests;
10. explain the nature of the chi-square distribution and its use for goodness of fit and
independence tests.
Chabot College
Course Outline for Mathematics 35
Fall 2009
Page 2
Course Content:
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Mathematical fundamentals, including summation notation
Analysis of data:
a. Frequency distributions
b. Graphical representation (histogram, dotplot, stem-and-leaf)
c. Measures of central tendency (mean, median, mode)
d. Measures of dispersion (range, variance, standard deviation)
e. Empirical and Chebychev's rules
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Percentiles and boxplots
g. Types of data
Probability
a. Probability laws
b. Permutations and combinations
Probability distributions
a. Binomial
b. Normal
c. Bivariate
d. Chi-square
Sampling distributions
Estimation and hypothesis testing
a. Single sample (large and small)
b. Two sample (large and small)
Introduction to Correlation and Regression
Chi-square procedures
a. Goodness-of-fit
b. Independence test
Methods of Presentation:
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Lecture
Problem solving
Classroom discussion
Assignments and Methods of Evaluating Student Progress:
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Typical Assignments
a. Exercises from the textbook
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Grandma's Jam Company, is a maker of premium preserves, and very few of its
16-oz jars should to contain less than 16 oz of product. Management decides that
16.1 oz (on the average) will be put in the jars so that very few will be
underweight.
Listed below are the weights of 25 jars (one chosen every 15 min) filled by one
machine during one day's shift. The data are in order by row. [Data is given.]
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Construct a run chart and determine whether the process is statistically stable.
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Construct a boxplot of the weights.
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Construct a histogram of the weights. Does the process appear to result in values
with a bell-shaped distribution?
b. Computer projects
i.
Suppose you want to predict the amount of nicotine in a cigarette based on the
amount of carbon monoxide using Data Set 8. Determine whether a regression
analysis is appropriate in this case. If it is, perform a complete regression analysis
Chabot College
Course Outline for Mathematics 35
Fall 2009
2.
Page 3
Methods of Evaluating Student Progress
a. Quizzes
b. Tests, including a final exam
c. Computer projects
Textbook(s) (Typical):
Statistics for Management and Economics, Keller and Warrack, Thomson Publishing, 2006
Special Student Materials:
Scientific or Graphing Calculator
Adolph Oliver 1996
Revised October 2008 Anita Wah