Who will be the course coordinator? Dr Lisa Kay Recommendation:
5. The following data were obtained in an experiment designed to check whether there is a systematic difference in the
weights (in grams) obtained with two scales:
Rock Specimen Scale I Scale II
1 12.18 12.17 2 17.61 17.61 3 9.38 9.35 4 11.45 11.42 5 28.65 28.61 6 10.30 10.27 7 23.41 23.42 8 16.32 16.26 9 12.43 12.45 10 24.78 24.75
Assume approximate normality. Conduct the test of hypothesis to determine whether there is a systematic difference in the weights obtained with the two scales. Use α = 0.05. Utilize the Minitab printout below to complete the test. Two different methods of analysis are given, so you will need to select the correct one. State the null and alternative hypotheses, using proper notation. Give the appropriate test statistic and p-value. State the conclusion in complete sentences. Include your justification, and write your conclusion in the context of the problem.
Two-Sample T-Test and CI: Scale I, Scale II Two-sample T for Scale I vs Scale II N Mean StDev SE Mean Scale I 10 16.65 6.79 2.1 Scale II 10 16.63 6.79 2.1
Difference = mu (Scale I) - mu (Scale II) Estimate for difference: 0.020000
95% CI for difference: (-6.384957, 6.424957)
T-Test of difference = 0 (vs not =): T-Value = 0.01 P-Value = 0.995 DF = 17
Paired T-Test and CI: Scale I, Scale II Paired T for Scale I - Scale II
N Mean StDev SE Mean Scale I 10 16.6510 6.7891 2.1469 Scale II 10 16.6310 6.7873 2.1463 Difference 10 0.020000 0.024495 0.007746
95% CI for mean difference: (0.002477, 0.037523)
T-Test of mean difference = 0 (vs not = 0): T-Value = 2.58 P-Value = 0.030
This question addresses the ninth and tenth STA 215 course objectives and is designed to measure the first, second, and third general education learning objectives.
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Syllabi and the Course Objective Matrix for STA 215
The Department of Mathematics and Statistics runs approximately six sections of STA 215 each semester, one of which is typically an ITV course. There is not a common syllabus required for this course. The instructor for each section of the course will distribute the following information, in addition to her/his own syllabus that will include all of the elements required by the university. These minimum course objectives are consistent with university general education guidelines and allow the course to fulfill general education requirements. Individual faculty members are permitted to supplement these minimum course objectives with additional objectives and goals to suit their particular approaches to the course.
General Education Goals and the Course:
STA 215 is a general education course that is designed to help students meet the following General Education Goals:
• Use appropriate methods of critical thinking and quantitative analysis (General Education Goal 2).
• Distinguish the methods that underlie the search for knowledge in the arts, humanities, natural sciences, history, and social and behavioral sciences (General Education Goal 7).
• Integrate statistical knowledge that will deepen their understanding of, and will inform their own choices about, issues of personal and public importance (General Education Goal 8).
In particular, the General Education Objectives for achieving Goal 2 include the following:
1. Using mathematical methods to state and solve quantitative problems, including those stated in verbal form.
2. Using numerical and graphical data to make reasonable and valid conclusions. 3. Applying mathematical methods to real-life problems.
Specific Course Objectives:
Students in STA 215 will demonstrate the ability to . . .
1. Describe data sets using graphs and numerical summaries. 2. Use normal distributions to model real-life situations. 3. Interpret regression and correlation results.
4. Use a regression equation to make predictions. 5. Describe appropriate ways of collecting data. 6. Apply basic rules of probability.
7. Solve problems that require the use of the Central Limit Theorem. 8. Compute and interpret confidence intervals.
9. Conduct tests of hypotheses and draw relevant conclusions. 10.Interpret output from a software analysis package.
While instructors are not limited to these objectives, they will, at a minimum, include these objectives. Thus, all instructors will use the same general education course objective matrix. A sample syllabus follows and includes the above text. The general objective matrix to be used for assessing all sections of this course follows the sample syllabus.
*SAMPLE SYLLABUS*
DEPARTMENT OF MATHEMATICS & STATISTICS
STA 215 INTRODUCTION TO STATISTICAL REASONING 3 credit hours Spring 20XX MWF 1:25-2:15 p.m. Wallace 447 Section XXXXX Instructor: Lisa Kay Office: Wallace 308 Mailbox: Wallace 313
Phone: 622-1621 E-mail address: [email protected] Office hours: Mon., Wed., & Fri. 11:05 a.m.-12:20 p.m.
Tues. & Thurs. 1:15-3:25 p.m. Other hours by appointment
Prerequisite: Completion of all University developmental requirements
Course Description: Introduction to descriptive statistics, normal distributions, linear correlation and
regression, sampling, experiments, chance phenomena, one- and two-sample estimation and hypothesis testing, chi-square tests, analysis of variance, software analysis packages.
Note: Credit will not be awarded to students who have credit for CRJ 400 or ECO 220 or ECO 848 or EPY
842 or HEA 450 or PSY 291 or QMB 200 or STA 270.
General Education Goals and the Course:
STA 215 is a general education course that is designed to help students meet the following General Education Goals:
• Use appropriate methods of critical thinking and quantitative analysis (General Education Goal 2).
• Distinguish the methods that underlie the search for knowledge in the arts, humanities, natural sciences, history, and social and behavioral sciences (General Education Goal 7).
• Integrate statistical knowledge that will deepen their understanding of, and will inform their own choices about, issues of personal and public importance (General Education Goal 8).
In particular, the General Education Objectives for achieving Goal 2 include the following:
1. Using mathematical methods to state and solve quantitative problems, including those stated in verbal form.
2. Using numerical and graphical data to make reasonable and valid conclusions. 3. Applying mathematical methods to real-life problems.
Specific Course Objectives:
Students in STA 215 will demonstrate the ability to . . .
1. Describe data sets using graphs and numerical summaries. 2. Use normal distributions to model real-life situations. 3. Interpret regression and correlation results.
4. Use a regression equation to make predictions. 5. Describe appropriate ways of collecting data. 6. Apply basic rules of probability.
7. Solve problems that require the use of the Central Limit Theorem. 8. Compute and interpret confidence intervals.
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Course Supplies: (1) Text: The Basic Practice of Statistics, 3rd Edition, by David S. Moore, 2004. (2) Calculator: A scientific calculator with statistical functions.
Tentative Course Outline and Schedule:
Library Instruction: Class will meet in the ITDS Library Lab on Friday, January 14thB1 day
Chapter 1: Picturing Distributions with GraphsB2 days
Chapter 2: Describing Distributions with NumbersB4 days
Chapter 3: The Normal DistributionsB3 days
Chapter 4: Scatterplots and CorrelationB2 2 days
Chapter 5: RegressionB4 days
Chapter 7: Producing Data: SamplingB1 day
Chapter 8: Producing Data: ExperimentsB1 2 days
Chapter 9: Introducing ProbabilityB2 days
Chapter 10: Sampling DistributionsB2 days
Chapter 13: Confidence Intervals: The BasicsB2 days
Chapter 14: Tests of Significance: The BasicsB2 days
Chapter 15: Inference in PracticeB1 2 days
Chapter 16: Inference about a Population MeanB1 day
Chapter 17: Two-Sample ProblemsB2 days
Chapter 18: Inference about a Population ProportionB1 day
Chapter 19: Comparing Two ProportionsB2 days
Chapter 20: Two Categorical Variables: The Chi-Square TestB2 days
Chapter 22: One-Way Analysis of Variance: Comparing Several MeansB2 days
Inclement Weather Plan: On inclement weather days, this class will meet 2:10-2:50 p.m. Course Requirements and Grading Procedure:
(1) Tentative Number of Quizzes and Exams: 4 Quizzes
4 Exams
1 Comprehensive Final Exam
(2) Projects/Assignments: Various projects or assignments may be collected during the semester. These
assignments may include homework problems, computer assignments, or other projects, as time allows and as the instructor deems appropriate. Selected homework problems may be collected without prior notice (homework should always be brought to class). Some may require more work or writing than others, and some may be weighted more heavily than others.
(3) Daily Activities: In some or all classes, assignments or activities will be required and collected. There
may be quizzes over the reading assignments. Problems may be assigned and collected. Some group work may also be assigned.
(4) Grades: The following weight scheme will be used to compute the course grade:
Quizzes 15%
Exams 50%
Final Exam 20%
Projects/Assignments 10%
(5) Grading Scale A: 90%-100%
B: 80%-89% C: 70%-79% D: 60%-69% F: 0%-59%
(6) Tentative Exam Dates: Exam 1 Wednesday, February 2 (Ch. 1, 2)
Exam 2 Monday, February 28 (Ch. 3, 4, 5) Exam 3 Friday, March 25 (Ch. 7, 8, 9, 10)
Exam 4 Monday, April 18 (Ch. 13, 14, 15, 16, 17) Comprehensive Final Exam Wednesday, May 4, 1:00-3:00 p.m.
Note: Tentative quiz dates are January 26, February 16, March 18, and April 11. Official dates will be
announced in class. Quiz questions may be taken from the homework.
Make-up Policy: Make-up quizzes and exams will be given only for university excused absences or
absences deemed reasonable by the instructor; documentation should be provided. Any exam or quiz missed without a valid excuse will be assigned a grade of zero; points may be deducted for late projects at the discretion of the instructor. Arrangements to make up a missed quiz or exam should be made within one week of the quiz or exam if possible. Late assignments will be accepted only for university excused
absences or reasons deemed acceptable by the instructor; documentation should be provided. Make-ups will not be given for daily activities except in circumstances deemed appropriate by the instructor, but at least 10% of these will be dropped to allow for a reasonable number of absences.
Last Day to Withdraw from a Course: March 4th
Student Progress: Mid-term grades should be available online on February 28th.
Homework: After the instructor covers a section in class, the problems for that section selected by the
instructor are automatically assigned (these problems are on an assignment sheet). Exercises may be collected at the discretion of the instructor. Exercises will be discussed in class as needed.
Note: It is expected that each student will spend on the average a minimum of two hours outside study for
each hour of class time.
Attendance Policy: Regular class attendance is essential. Unexcused absences for more than 10% of the
regularly scheduled class meetings may result in a lower course grade. The instructor may excuse an absence only when the student presents an adequate and/or documented reason within a reasonable amount of time. Such reasons usually include circumstances beyond the student's control, such as personal illness, critical illness or death in the immediate family, or participation in university-sponsored activities. In extraordinary circumstances, this policy may be waived for individuals at the discretion of the instructor. Students will be held responsible for announcements made in class.
Departmental & University Policies:
1. Students caught cheating in this course may receive a grade of "F". Anyone violating the usual standards for academic honesty, for example, anyone attempting to obtain or exchange information regarding any quiz or test, or anyone using a fraudulent excuse to qualify for a make-up, may receive a course grade of "F". 2. Anyone behaving in a disruptive manner or refusing to follow the usual standards for academic behavior
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3. Grades are neither posted nor given out over the phone.
4. During class, all cell phones and pagers must be turned off or set in a silent mode.
5. No student may enroll in a course taught by the Department of Mathematics and Statistics more than twice during the Fall and Spring Semesters. Subsequent enrollments must be during Summer School. Exceptions are by written petition to the Department Chair only.
6. Any student enrolling in a multiple section course for which s/he has already received a grade of "D", "F" or "W" from the instructor who is teaching the section may change to a section taught by a different
instructor at no charge by seeing the Chair of the Department of Mathematics and Statistics. This change must be completed by the end of the drop/add period.
7. Disability Statement: If you are registered with the Office of Services for Individuals with Disabilities,
please make an appointment with the course instructor to discuss any academic accommodations you need. If you need academic accommodations and are not registered with the Office of Services for Individuals with Disabilities, please contact the Office of Services for Individuals with Disabilities, please contact the office on directly on the third floor of the Student Services Building, by e-mail at [email protected], or by telephone at (859) 622-2933 V/TDD. Upon individual request, this syllabus can be made available in alternative forms.
Course Objective Matrix Course Prefix, Number and Title: STA 215, Introduction to Statistical Reasoning Which block(s) of general education does the course serve? Blocks II and VII
In the columns of the course objective matrix please identify the general education learning objectives for the general education block that the course serves. On the rows of the matrix please identify the student learning objectives found on the syllabus for the course. If a specific course objective addresses a general education learning objective, then write in the appropriate cell one or more of the following: KC if the course objective refers to knowledge and comprehension of course material, CT if the course objective requires critical thinking, IC if the course objective requires integration of knowledge across the course, ID if the course objective requires integration of knowledge across disciplines, MI if the course objective refers to methods of inquiry in the discipline, and QS if the course objective requires application of quantitative skills.
General Education Learning Objective Course Objective Using mathematical methods to
state and solve quantitative problems, including those stated in verbal form.
Using numerical and graphical data to make reasonable and valid conclusions.
Applying mathematical methods to real-life problems.
Describe data sets using graphs and numerical summaries. KC, CT, QS Use normal distributions to model real-life situations. KC, CT, MI, QS CT, MI Interpret regression and correlation results. KC, MI CT, MI Use a regression equation to make predictions. KC, CT, MI, QS KC, MI CT, MI Describe appropriate ways of collecting data. KC Apply basic rules of
probability. KC, CT, MI, QS CT, MI
Solve problems that require the use of the Central Limit Theorem. KC, CT, MI, QS CT, MI Compute and interpret confidence intervals.
KC, CT, MI, QS IC, MI CT, ID, MI
Conduct tests of hypotheses and draw relevant conclusions.
KC, CT, MI, QS IC, MI CT, ID, MI
Interpret output from a software analysis package.
Q:\University_Forms\Word_Forms\Curr\curriculum.change.form.doc-9-05
Curriculum Change Form
(Present only one proposed curriculum change per form) (Complete only the section(s) applicable.)
Part I
(Check one) Department Name Mathematics and Statistics New Course (Parts II, IV) College Arts and Sciences
X Course Revision (Parts II, IV) *Course Prefix & Number STA 270 Course Dropped (Part II) *Course Title (30 characters)
New Program (Part III) *Program Title
Program Revision (Part III) (Major , Option ; Minor ; or Certificate )
Program Suspended (Part III) *Provide only the information relevant to the proposal.
Proposal Approved by: Date Date
Departmental Committee 10/03/05 Graduate Council* NA
Is this a SACS Substantive Change? Yes**** No X Council on Academic Affairs
College Curriculum Committee 10/17/05 Approved X Disapproved 11-17-05
General Education Committee* 11/10/05 Faculty Senate** NA Teacher Education Committee* 10/25/05 Board of Regents** NA Council on Postsecondary Edu.*** NA *If Applicable (Type NA if not applicable.)
**Approval needed for new, revised, or suspended programs
***Approval/Posting needed for new degree program or certificate program
****If “yes”, SACS must be notified before implementation. Please contact EKU’s Office of Institutional Effectiveness. Completion of A, B, and C is required: (Please be specific, but concise.)
A. 1. Specific action requested: (Example: To increase the number of credit hours for ABC 100 from 1 to 2.)