SOUTHWEST COLLEGE –STAFFORD CAMPUS

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NORTHWEST COLLEGE –ALIEF CAMPUS

Department of Mathematics

Statistic Course Syllabus

Math 1342, MTWTH 12:00pm: –2:00PM

SUMMER II 2015

INSTRUCTOR: Lonnie Isaac

CONTACT PHONE

EMAIL ADDRESS : lonnie.isaac@hccs.edu

Attendance policy:

Students are expected to attend classes regularly. If some special situation arises, which calls for your missing classes, then please keep me informed. If I am not notified and your absences exceed 12.5% of the number of classes, you will be administratively withdrawn immediately.

Tardiness (lateness to class) policy

:

Every student is expected to be in class on time. If a student is late on the examination day, the student will not be given extra time.

Withdrawal policy:

Any student who is contemplating withdrawing from the class is encouraged to do so on or before the final day for withdrawal. If a student withdraws after the final day for withdrawal, the student will get an “F”.

Exam Policy:

Cheating is not allowed in the examination. If a student is caught cheating in an examination, the student will lose all the marks for that examination. College policies on cheating will be enforced. These are clearly outlined in the HCCS Student Handbook.

Make-up policy:

There will be no make-up of any test. If for any reason you must miss an exam, that exam will be used as the one you drop.

Grading policy:

Each of the first four examinations is worth 25%; and the final examination is worth 25% of the final course grade. The final course grade (call it FCG) will be calculated using the formula:-

FCG = Average of the best four grades (final exam not allowed to drop). Letter grade will be assigned to the FCG.

Grade legend: 90% - 100% - A, 80% - 89% - B, 70% - 79% - C, 60% - 69% - D, below

60% - F.

Catalog Description : MATH 1342 Statistics. Topics include histograms, probability, binomial and normal distributions, and their applications, correlation and prediction, and tests of statistical hypotheses. Prerequisite: MATH 1314 or its equivalent or an acceptable placement test score. 3 credit (lecture).

Prerequisites: MATH 1314 or its equivalent or an acceptable placement test score.

BEGINNING OF SEMESTER ADVISEMENT

Students are advised about the pre-requisites for the above class and how they are related to their major and the next class to take in mathematics.

END OF SEMESTER ADVISEMENT

Students are advised on the future courses in mathematics and how they are related to their majors. All questions were answered.

Course Intent : This course is intended for students primarily in health sciences and business rather than math or science majors. It consists of concepts, ideas, and utilization using statistics rather than a theory course.

Audience : This course is for students who require a statistics course as a prerequisite for further study.

Course Objectives : Upon completion of this course, a student should be able to:

1. Demonstrate knowledge of statistical terms.

2. Understand the different between descriptive and inferential statistics.

3. Identify: types of data, measurement level of variables, and four basic

sampling techniques.

4. Construct the relative frequency table from a given set of ungroup data.

5. Know and use the different graphs: histogram, frequency polygon, Ogives, Pareto, and pie charts to present data.

6. Compute the mean, median, mode, midrange, range, variance, and standard deviation.

7. Identify the various measures of position such as percentiles, deciles, and quartiles.

8. Find the total number of outcomes in a sequence of events using tree diagram and multiplication rule.

9. Understand the use of permutation and combination rules.

10. Determine sample spaces and find the probability of an event using classical probability.

11. Find the probability of compound events using addition and/or multiplication rules.

12. Find the conditional probability of an event

13. Construct a probability distribution for a random variable

14. Find the mean, variance, and expected value for a probability distribution function..

15. Find the exact probability for X successes in n trial of a binomial experiment.

16. Find the mean, variance, and standard deviation for binomial distribution.

17. Identify the properties of the normal distribution.

18. Find the area under the normal curve, given various z values.

19. Find probabilities for a normally distributed variable by transforming it into a standard normal variable.

20. Find specific data values for given percentages using the standard normal distribution.

21. Apply the central limit theorem to solve problems involving sample means.

22. Use the normal approximation to compute probabilities for a binomial variable.

23. Find a confidence interval for the mean when is known or n 30.

24. Determine the minimum sample size for finding a confidence interval for the mean.

25. Find a confidence interval for the mean when is unknown and n 30.

26. Find a confidence interval for proportion.

27. Determine the minimum sample size for finding a confidence interval for a proportion.

28. Find a confidence interval of variance and standard deviation.

29. Understand the definitions used in hypothesis testing.

30. State null hypothesis and alternative hypothesis.

31. Understand the terms: type I error and type II error, test criteria, level of significance, test statistic.

32. Find the critical values for the z-test, t-test, and -test.

33. Test hypothesis for: means (large and small sample), proportions, variance, and standard deviation.

34. Draw scatter plot for a set of ordered pairs.

35. Compute the correlation coefficient and the coefficient of determination.

36. Compute the equation of the regression line by using the least square method.

37. Test a distribution for goodness of fit using chi-square.

38. Test independence and homogeneity using chi-square.

39. Use the one-way ANOVA technique to determine if there is a significant difference among three or more means.

40. Determine differ in means using the Scheffe’ or Tukey test if the null hypothesis is rejected in the ANOVA.

Textbook : Bluman, Allan G., Elementary Statistics A Step by Step Approach , Wm. C. Brown

Publishers, Fifth Edition, 2004.

Course Outline : Instructors may find it preferable to cover the course topics in the order listed below. However, the instructor may choose to organize topics in any order, but all material must be covered.

APPROXIMATE TIME TEXT REFERENCE

Unit I - The Nature of Probability and Statistics Sections : 1.1-1.5. (1:30 hours)

This unit begins an introduction to statistics. Included are sections discussing descriptive and inferential statistics, variables and types of data, data collection and sampling techniques, and the history of probability and Statistics. Throughout the text, there are sections entitled “Technology

Step by Step” which give examples of how the computer can be used in statistics.

Unit 2 - Frequency Distributions and Graphs Sections : 2.1-2.4. (1:30 hours)

This unit begins with an introduction to organizing and presenting data. The major topics of this unit are construction of a frequency distribution table from an ungroup data and presented data by using: histograms, frequency polygons, Ogives, bar graphs, and time series graphs. The instructor may wish to include stem-leaf plot and picture graphs.

Unit 3 - Data Description S ections : 3.1-3.4. (4:30 hours)

This unit begins with an introduction to central dispersion and position measures. Topics include mean, median, mode, dispersion shapes, midrange, range, variance, standard deviation, coefficient of variation, Chebyshev’s theorem, z-scores, percentiles, deciles, quartiles, and outliers.

Unit 4 – Probability and Counting Techniques Sections : 4.1-4.5 (3 hours)

This unit begins with an introduction to probability as a chance concept. The basic concepts of probability are covered in the unit. These concepts include probability experiments, sample spaces, the addition and multiplication rules, probabilities of complementary events, and conditional probabilities. Topics include the tree diagrams, multiple rules, permutations, and combinations.

Unit 5 - Probability Distributions Sections : 5.1-5.4. (4 hours)

This unit begins with an introduction to distribution theory. This unit explains the concepts and applications of what is called a probability distribution. Topics include: mean and variance of discrete random variable and the binomial distribution.

Unit 6 - The Normal Distribution Sections : 6.1-6.6. (4:30 hours)

This unit begins with an introduction to the Gaussian Distribution. Topics include properties of the normal distribution, the standard normal distribution, application of the normal distribution, the central limit theorem, and normal approximation to the binomial distribution.

Unit 7 - Confidence Intervals and Sample Size Sections : 7.1-7.5. (3 hours)

This unit begins with an introduction to inferential statistics as related to estimation. Topics include conf proportions and error of the estimate.

Unit 8 - Hypothesis Testing Sections : 8.1-8.5, 8.6 ( Optional ) (6 hours)

This unit begins with an introduction to the concepts involved in statistical hypothesis testing.

Topics include steps in hypothesis testing of: the z-test, the t-test, and -test.

Unit 9 - Correlation and Regression Sections : 10.1-10.4 (3 hours)

This unit begins with an introduction to variable relatedness. Topics include scatter plots, correlation, and regression.

Unit 10 - Chi-Square Sections : 11.1-11.3. (3 hours)

This unit begins with an introduction to statistical tests for variance and good of fit. Topics include the chi-square distribution in test for goodness of fit and test for independence.

Unit 11 - The F Test and Analysis of Variance Sections : 12.1-12.3. (3 hours)

This unit begins with an introduction to the F distribution, multiple comparison procedures and the analysis of variance. Topics include one-way analysis of variance, the Scheffe’ test, and

Tukey test.

Resource Materials : Any student enrolled in Math 1342 at HCCS has access to the Academic

Support Center where they may get additional help in understanding the theory or in improving their skills. The Center is staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and computer-assisted drills. Also available is a student’s Solutions manual which may be obtained from the bookstore.

Americans With Disabilities Act (ADA): Students with Disabilities: Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester

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