Frederick Community College
MA206 - Elementary Statistics
Fall 2011
|
Class Begins: August 22, 2011 |
Class Ends: December 10, 2011 |
Last Day to Withdraw: November 2, 2011 |
Instructor Information
|
Instructor: Steve Prehoda |
Office: B-101H |
|
E-mail: sprehoda@frederick.edu |
Phone Number: 301-846-2578 |
|
Office Hours: M/W 9:30-12:00 |
Campus Mail Box Number: 296 |
Course Information
|
Course: Elementary Statistics |
Credits: 3 |
|
Prerequisites: At least a C in MA
82 or appropriate score on placement exam |
Co-requisites: None |
Course Description
|
An
introductory noncalculus statistics course.
Topics include descriptive analysis and treatment of data,
probability, statistical inference, linear regression and correlation |
Core Learning
Outcomes
|
Students
will be able to 1. articulate the
concepts of elementary statistics.
This will be accomplished through writing and speaking in effective,
organized, clear, and grammatically correct English appropriate for
mathematics. (gen ed obj. 1) 2. interpret and
analyze tables, graphs, and diagrams to convey quantitative information and
solve elementary statistical problems. (gen ed obj. 13) 3. perform
mathematical operations and apply them to practical situations. (gen ed obj.
11) 4. generate and
evaluate alternative solutions to elementary statistical problems. (gen ed obj. 5) 5. demonstrate a
variety of problem-solving techniques using different mathematical tools and
alternative representations of numerical and analytical concepts with
application to numerical data. (gen ed obj. 12) 6. use the technology
of a changing world appropriate to elementary statistics. (gen ed obj. 19,
21) 7. display academic
honesty and adhere to professional standards in their fields. (gen ed obj.23) |
|
Specific
Learning Outcomes (targets): Students will be able to 1. Summarize data through the use of
graphs, measures of center, measures of variation and measures of position 2. Use the basics
of probability 3. Use the
multiplication principle for independent events 4. Find the mean
and standard deviation of a random variable 5. Recognize a
binomial distribution, and identify n,p,q, x 6. Determine
binomial probabilities 7. Find the
parameters of a binomial distribution 8. Determine
“unusual” values of a random variable in 2 ways 9. Determine
probabilities in a normal distribution 10. Understand and
use the Central Limit Theorem 11. Estimate
population means (confidence intervals, T interval) 12. Estimate
population proportions (confidence intervals) 13. Determine needed
sample sizes for confidence intervals. 14. Test claims for
means (T test) 15. Test claims about
two means or two proportions including matched pairs. 16. Find the
correlation coefficient and the regression equation for paired data. 17. Use the Χ-square
test for independence. |
|
1.
Lectures/Problem solving sessions/Discussions 2.
Homework from each class period 3.
Test review periods with a practice test before each test 4.
Four tests with comprehensive final 5.
One Research/Writing assignment 6.
One Hypothesis Testing Project |
Text(s)
|
Essential
Statistics,
4th ed. Mario F Triola, TI-83, TI-83 plus or TI-84 graphing calculator.
Required textbook. |
Students can
project their progress in the course by the sixth week of the semester by
taking the average scores of their first two tests.
|
Tests / Papers / Projects
|
Percentage Value
|
Final Grade Scale |
|
Five exams averaged |
90% |
90-100 A |
|
1 Research/Writing Assignment |
5% |
80-89 B |
|
1 Hypothesis Testing Project |
5% |
70-79 C |
|
|
|
60-69 D |
|
|
|
<60 F |
|
|
|
|
All
work requiring calculations must be shown for credit on tests. Correct answers
given without showing work may be denied credit.
All
tests must be taken together unless prior arrangements have been made. Any test
missed without prior notice will receive a zero grade.
Codes of Academic Integrity and Student Conduct
|
Students
are required to uphold the Code of Academic Integrity and the Code of Student
Conduct. Students who violate either of these codes may receive a failing
grade in the class. Information about
these codes and other student policies, procedures, and penalties is available
on the Student Policy and Procedures web page at http://www.frederick.edu/student_services/studentpolicies.aspx . |
Student Services
A variety of services are available to
assist students in succeeding at FCC. Students can learn more about these
services by visiting the Student Services web page: http://www.frederick.edu/student_services/index.aspx
Students
with disabilities who are in need of accommodations or who have questions related
to disabilities services should contact the Services for Students with
Disabilities (SSD) office at 301-846-2408. Students can learn more about these services
by visiting the Services for Students with Disabilities web page: http://www.frederick.edu/student_services/disability.aspx .
|
The
College attendance policy states: "Students are expected to attend
all class sessions except in cases of emergency, religious holidays or
participation in official College functions. In these cases,
notification or verification, if requested, will be given to the instructor
by the student." Attendance
is expected for all classes. If you miss a class it is your responsibility to
find the assigned material either from another student or from the
instructor. You should not expect to achieve your potential if you miss
classes. If you don’t come you will miss out on material that will make it
easier for you to achieve the course objectives. Expectations: I will show respect
to each of you and expect you to show respect towards me and your classmates.
This specifically includes refraining from talking during the lectures. If you are talking to the point that it is
distracting to me while lecturing, it will also be distracting to your
classmates. I will let you know once only if this is a problem, and
after the second time, I will reassign seats. See the 2010-11
Student Handbook for more detail on expected classroom behavior. I
expect you to put your cell phones in silent mode when you enter class. I
will start class on time and be prepared to teach the entire period. I
will answer email within 24 hours. I
will return graded tests during the next class after a test. I
will be available during my office hours. |
Email Communication
|
All students will receive and be expected
to use their FCC email address for their correspondence with faculty and
staff at the college. Students can
establish and access their FCC email accounts at the login page: https://myfcc.frederick.edu. |
MA 206
Triola 4th
Ed
Spring
2011 COURSE OUTLINE
|
Class |
Date |
Subject |
Content/Assignment |
|
#1 |
|
Chap 1 Introduction to Statistics
|
Read: Chap 1, Sec 2.1, 2.2, 2.3 1-3: 1-12, 13-19 odd, 29,31 1-4: 1,4,5,7,9 1-5: 5-8 2-2: 5,7,13,15 |
|
#2 |
|
Sec 2.1, 2.2, 2.3 Frequency tables, pictures
of data
Sec 3.1, 3.2 Measures of Central Tendency
Calculator skills
|
2.2 p.
52 # 1,9,13 2.3 p.
57 # 1, 5-8 2-4: Read Read
3.1, 3.2 3.2 p.
94 5-11 odd,21 Read: Sec 3.3 |
|
#3 |
|
Sec 3.3 Measures of Variation
Empirical Rule Sec.
3.4 Measures of Position and Boxplots
Calculate and interpret Z scores
Calculator
skills Construct Boxplots |
3.3 p. 109 # 1 – 11 odd, 17, 19 Read:
Sec 3.4, 3.5 3.4 p. 126 # 1 – 17 odd |
|
#4 |
|
Practice Test 1 |
|
|
#5 |
|
Test 1 Chap 1, 2 and 3 |
|
|
#6 |
|
Sec
4.1 - 4.5 Fundamentals of Probability
Find
probabilities using contingency tables |
Do:
4.2 p. 147 # 5-31 odd 4.3 p. 156 # 5-21 odd 4.4 p. 167 # 5-29 odd 4.5 p. 175 5 – 23 odd Read: Sec 5.1, 5.2 |
|
#7 |
|
Sec 5.1, 5.2 Random Variables
|
Do: 5.2 p. 208 # 5 – 13 odd, # 17 – 21 odd Read:
Sec 5.3, 5.4 |
|
#
8 |
|
Sec 5.3 Binomial Experiments Sec 5.4 Mean, Variance, Standard Deviation
for Binomial Distribution
Calculator skills Calculate Binomial probabilities |
Do:
5.3 p. 219 # 15 – 23 odd # 29 – 35 5.4 p. 226 # 5 – 17 odd |
|
#9 |
|
Practice Test 2 |
|
|
|
|
Test 2 Chapter 4
and 5 |
|
|
#
10 |
|
Sec 6.1, 6.2 Standard Normal Distribution
Calculator skills ·
Given a z-score, find probability ·
Given a probability, find z-score |
Do: 6.2
p. 249 5-51 odd Read: Sec 6.3 |
|
#11 |
|
Sec 6.3 Applications of Normal
Distributions
Calculator skills
|
Do: 6.3 p. 259 # 5 – 29 odd Read: Sec 6.5 |
|
#
12 |
|
Sec 6.5 Central Limit Theorem
|
Do: 6.5 p. 283 # 5 - 13 odd, 17 |
|
#13 |
|
Sec 6.6 Normal as
approximation to Binomial |
5-27 odd Read:
Sec 7.1, 7.2 |
|
#
14 |
|
Sec 7.1, 7.2 Estimating a Population
Proportion
Calculator skills Calculate the confidence interval for a
population proportion |
Do: 7.2
p. 327 # 1 – 29 odd, 33 – 39
odd, 41, 43 Read: Sec 7.3, 7.4 |
|
# 15 |
|
Sec
7.3, 7.4 Estimating a Population Mean
Calculator skills Calculate the confidence interval for a
population mean using T-interval |
Do: 7.3
p. 339 # 17, 19, 21, 33, 35 7.4
p. 353 # 13, 17, 19,
23, 25 (Use t-interval for both.) |
|
#16 |
|
Practice Test 3 |
|
|
#17 |
|
Test 3 Chapter 6 and 7 |
|
|
#18 |
|
Sec 8.1, 8.2 Fundamentals of Hypothesis
Testing
|
Do: 8.2 p. 397 # 1 – 35 odd, Read Sec 8.3 |
|
# 19 |
|
Sec 8.3 Testing a Claim about a Proportion ·
Perform three types of significance tests – traditional
method, p-value method and confidence interval for a population proportion
using the calculator ·
Write up a formal hypothesis test for a claim about a
population proportion ·
Interpret the results Calculator skills
|
Do: 8.3
p. 408 # 5-19 odd Read: Sec 8.5 |
|
#
20 |
|
Sec 8.4 Testing a
Claim About a Mean- Sigma Known |
5-19 odd |
|
#
21 |
|
Sec 8.5 Testing a Claim about a Mean ·
Perform three types of significance tests – traditional
method, p-value method and confidence interval for a population mean using
the calculator ·
Write up a formal hypothesis test for a claim about a
population mean ·
Interpret the results Calculator skills Calculate the test statistic t, p-value,
and confidence interval for a claim about a population mean |
Do: 8.5 p. 427 # 9-25 odd Read:
Sec 9.1, 9.2 (Use t-test for both.) Read 9.1, 9.2 |
|
|
November
2 |
Last Day to Withdraw from this Course |
|
|
#
22 |
|
Sec 9.1, 9.2 Inferences about two
proportions ·
Perform three types of significance tests – traditional
method, p-value method and confidence interval for two proportions using the calculator ·
Write up a formal hypothesis test for a claim about a
two proportions ·
Interpret the results Calculator skills
|
Do: 9.2 p. 456 # 9-35 odd Read: Sec 9.3, 9.4 |
|
#
23 |
|
Sec 9.3, 9.4 Inferences about two means,
Independent samples and matched pairs ·
Determine whether samples are independent or dependent ·
Perform three types of significance tests – traditional
method, p-value method and confidence interval for independent sample means
and for dependent sample means/matched pairs using the calculator ·
Write up a formal hypothesis test for a claim about two
means ·
Interpret the results Calculator skills
|
Do: 9.3 p.
470 # 5 –9, 10*, 11, 13
9.4 p. 481 # 11, 13, 15 |
|
#24 |
|
Group activities, data collection for Hypothesis Testing Project |
Read 11.2, 11.3 |
|
# 25 |
|
Sec 11.2 Goodness of Fit Sec 11.3 Contingency Tables: Independence and
Homogeneity
Calculator skills
Calculate Chi-square and/or p-value |
11.2 5-17 odd Do: 11.3
p. 576 #5-17 odd Read: Sec 10.1, 10.2, 10.3 |
|
#
26 |
|
Sec 10.1, 10.2,10.3 Correlation and
Regression
Calculator skills
Determine the regression equation |
Do: 10.2
p. 508 #13 – 25 odd
10.3 p. 525 #13 – 25 odd Do
as paired exercises, both #13s together, etc. |
|
#
27 |
|
Practice Test 4 |
|
#
28 |
|
Test 4 Chapter 8,9,10, and 11 |
|
|
#
29 |
|
Practice Final |
|
|
# 30 |
|
Final
Exam Comprehensive Chap 1-11 |
|
|
|
12/12 |
Snow
Day |
|
|
|
12/13 |
Snow
Day |
|
Note: The
instructor may make changes as needed to the topical outline.