MAT 135

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

Introduction to Statistics

PREFIX/NUMBER:

MAT 135

CREDIT HOURS:

3

2.

PREREQUISITE:

Successful completion of MAT 090 with a S/C or better or ACCUPLACER Math Test score of 85 – 120 (EA)

3.

RESOURCES NEEDED:

TEXT:

Essentials of Statistics 4/e with MyLabsPlus Student Access Kit by Mario F. Triola

ISBN: 9780558695200

SUPPLIES:

MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), StatDisk (packaged with a new textbook or can be downloaded in MyLabsPlus), paper, pencil and scientific calculator.

4.

COURSE DESCRIPTION:

Includes data presentation and summarization, introduction to probability concepts and distributions, statistical inference --estimation, hypothesis testing, comparison of populations, correlation and regression.

5.

COURSE OBJECTIVES :

A.      Have a working knowledge of and distinguish between the two branches of statistics, descriptive statistics and inferential statistics.

B.      Distinguish between qualitative and quantitative data.

C.      Distinguish between the following levels of measurement: nominal, ordinal, interval, and ratio.

D.     Define a population and sample.

E.      Define a parameter and statistic.

F.       Recognize that Greek letters are used to represent parameters and English letters are used to represent statistics.

G.     Present various methods of depicting data and statistical measures utilized in descriptive statistics.

H.     Organize data into a grouped frequency table.

I.        Present data in the form of histograms, stem and leaf diagrams, and/or box and whisker plots.

J.        Interpret histograms , line graphs, bar graphs, pie charts, and stem and leaf diagrams.

K.      Use formulas to calculate the following measures of central tendency: mean median, mode, and midrange.

L.       Use formulas to calculate the following measures of dispersion: range, variance, and standard deviation.

M.   Use the appropriate procedures to find the following measures of position in a set of data: z-score, percentile, quartile, and deciles.

N.     Define percentile and use this to interpret percentile ranks.

O.     Recognize and identify various shapes of data distributions.

P.      Utilize the basic definitions to calculate simple probabilities.

Q.     Utilize the addition rule to calculate probabilities for the occurrence of one event or the another event.

R.      Demonstrate an understanding of how events are complementary and calculate the probability that an event does not occur.

S.       Use counting principles to determine the number of ways various events can occur.

T.      Develop the concepts of probability distributions.

U.     Distinguish between discrete and continuous random variables.

V.      Have a working knowledge of the concept of probability distributions.

W.   Use formulas to calculate the mean, variance, standard deviation, and expected value of a probability distribution.

X.      Calculate probabilities in binomial experiments.

Y.      Recognize and identify various shapes of probability distributions.

Z.      Demonstrate knowledge of the relationship between probability and the area under a probability curve.

AA. Describe the normal distribution and the associated statistics and probabilities.

BB. Determine probabilities using the standard normal curve.

CC. Determine z-scores that correspond with observations in non-standard normal distributions.

DD.Determine scores that correspond to given probabilities.

EE. Use the normal distribution to approximate probabilities associated with a binomial experiment and know the conditions for which these approximations are appropriate.

FF.   Know the meaning of a sampling distribution.

GG.Develop the concepts of point estimates and interval estimates and present methods for determining sample size.

HH. Estimate the value of a population mean and determine confidence intervals for a population proportion.

II.      Perform and analyze one-sample hypothesis tests for means and proportions.

JJ.     Perform two-sample hypothesis tests for means and proportions.

KK. Interpret scatter plots for paired data.

LL.   Compute and interpret Pearson's r for paired data.

MM.                    Interpret the results of a regression analysis for paired data.

NN.Perform and analyze Chi-square goodness-of fit tests.

OO.                       Perform and analyze Chi-square tests of independence and homogeneity.

PP. Perform and interpret one-way ANOVA tests.

6.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

90% – 100% - A
80% – 89% - B
70% – 79% -C
60% - 69% -D
0% - 59% - F

7.

COURSE OUTLINE:

Textbook Chapters 1 – 11

1. Introduction to Statistics

1-1 Review and Preview

1-2 Statistical Thinking

1-3 Types of Data

1-4 Critical Thinking

1-5 Collecting Sample Data

2. Summarizing and Graphing Data

2-1 Review and Preview

2-2 Frequency Distributions

2-3 Histograms

2-4 Statistical Graphics

2-5 Critical Thinking: Bad Graphs

3. Statistics for Describing, Exploring, and Comparing Data

3-1 Review and Preview

3-2 Measures of Center

3-3 Measures of Variation

3-4 Measures of Relative Standing and Boxplots

4. Probability

4-1 Review and Preview

4-2 Basic Concepts of Probability

4-3 Addition Rule

4-4 Multiplication Rule: Basics

4-5 Multiplication Rule: Complements and Conditional Probability

5. Discrete Probability Distributions

5-1 Review and Preview

5-2 Random Variables

5-3 Binomial Probability Distributions

5-4 Mean, Variance, and Standard Deviation for the Binomial Distribution

6. Normal Probability Distributions

6-1 Review and Preview

6-2 The Standard Normal Distribution

6-3 Applications of Normal Distributions

6-4 Sampling Distributions and Estimators

6-5 The Central Limit Theorem

6-6 Normal as Approximation to Binomial

6-7 Assessing Normality

7. Estimates and Sample Sizes

7-1 Review and Preview

7-2 Estimating a Population Proportion

7-3 Estimating a Population Mean: σ Known

7-4 Estimating a Population Mean: σ Not Known

8. Hypothesis Testing

8-1 Review and Preview

8-2 Basics of Hypothesis Testing

8-3 Testing a Claim About a Proportion

8-4 Testing a Claim About a Mean: σ Known

8-5 Testing a Claim About a Mean: σ Not Known

9. Inferences from Two Samples

9-1 Review and Preview

9-2 Inferences About Two Proportions

9-3 Inferences About Two Means: Independent Samples

9-4 Inferences from Dependent Samples

10. Correlation and Regression

10-1 Review and Preview

10-2 Correlation

10-3 Regression

11. Chi-Square and Analysis of Variance

11-1 Review and Preview

11-2 Goodness-of-Fit

11-3 Contingency Tables

11-4 Analysis of Variance

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus.

Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately.

The instructor may assign point values to such activities.

9.

ACADEMIC INTEGRITY:

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.

11.

SPECIAL REMARKS:

Homework: Homework will be assigned and evaluated as determined by the instructor.

Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made.

Special Note for Online Section (01W): You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP.

Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:	Introduction to Statistics
	PREFIX/NUMBER:	MAT 135	CREDIT HOURS:	3
2.	PREREQUISITE:	Successful completion of MAT 090 with a S/C or better or ACCUPLACER Math Test score of 85 – 120 (EA)
3.	RESOURCES NEEDED:
	TEXT:	Essentials of Statistics 4/e with MyLabsPlus Student Access Kit by Mario F. Triola ISBN: 9780558695200
	SUPPLIES:	MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), StatDisk (packaged with a new textbook or can be downloaded in MyLabsPlus), paper, pencil and scientific calculator.
4.	COURSE DESCRIPTION:	Includes data presentation and summarization, introduction to probability concepts and distributions, statistical inference --estimation, hypothesis testing, comparison of populations, correlation and regression.
5.	COURSE OBJECTIVES :	A. Have a working knowledge of and distinguish between the two branches of statistics, descriptive statistics and inferential statistics. B. Distinguish between qualitative and quantitative data. C. Distinguish between the following levels of measurement: nominal, ordinal, interval, and ratio. D. Define a population and sample. E. Define a parameter and statistic. F. Recognize that Greek letters are used to represent parameters and English letters are used to represent statistics. G. Present various methods of depicting data and statistical measures utilized in descriptive statistics. H. Organize data into a grouped frequency table. I. Present data in the form of histograms, stem and leaf diagrams, and/or box and whisker plots. J. Interpret histograms , line graphs, bar graphs, pie charts, and stem and leaf diagrams. K. Use formulas to calculate the following measures of central tendency: mean median, mode, and midrange. L. Use formulas to calculate the following measures of dispersion: range, variance, and standard deviation. M. Use the appropriate procedures to find the following measures of position in a set of data: z-score, percentile, quartile, and deciles. N. Define percentile and use this to interpret percentile ranks. O. Recognize and identify various shapes of data distributions. P. Utilize the basic definitions to calculate simple probabilities. Q. Utilize the addition rule to calculate probabilities for the occurrence of one event or the another event. R. Demonstrate an understanding of how events are complementary and calculate the probability that an event does not occur. S. Use counting principles to determine the number of ways various events can occur. T. Develop the concepts of probability distributions. U. Distinguish between discrete and continuous random variables. V. Have a working knowledge of the concept of probability distributions. W. Use formulas to calculate the mean, variance, standard deviation, and expected value of a probability distribution. X. Calculate probabilities in binomial experiments. Y. Recognize and identify various shapes of probability distributions. Z. Demonstrate knowledge of the relationship between probability and the area under a probability curve. AA. Describe the normal distribution and the associated statistics and probabilities. BB. Determine probabilities using the standard normal curve. CC. Determine z-scores that correspond with observations in non-standard normal distributions. DD.Determine scores that correspond to given probabilities. EE. Use the normal distribution to approximate probabilities associated with a binomial experiment and know the conditions for which these approximations are appropriate. FF. Know the meaning of a sampling distribution. GG.Develop the concepts of point estimates and interval estimates and present methods for determining sample size. HH. Estimate the value of a population mean and determine confidence intervals for a population proportion. II. Perform and analyze one-sample hypothesis tests for means and proportions. JJ. Perform two-sample hypothesis tests for means and proportions. KK. Interpret scatter plots for paired data. LL. Compute and interpret Pearson's r for paired data. MM. Interpret the results of a regression analysis for paired data. NN.Perform and analyze Chi-square goodness-of fit tests. OO. Perform and analyze Chi-square tests of independence and homogeneity. PP. Perform and interpret one-way ANOVA tests.
6.	EVALUATION PROCEDURES:	The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - A 80% – 89% - B 70% – 79% -C 60% - 69% -D 0% - 59% - F
7.	COURSE OUTLINE:	Textbook Chapters 1 – 11 1. Introduction to Statistics 1-1 Review and Preview 1-2 Statistical Thinking 1-3 Types of Data 1-4 Critical Thinking 1-5 Collecting Sample Data 2. Summarizing and Graphing Data 2-1 Review and Preview 2-2 Frequency Distributions 2-3 Histograms 2-4 Statistical Graphics 2-5 Critical Thinking: Bad Graphs 3. Statistics for Describing, Exploring, and Comparing Data 3-1 Review and Preview 3-2 Measures of Center 3-3 Measures of Variation 3-4 Measures of Relative Standing and Boxplots 4. Probability 4-1 Review and Preview 4-2 Basic Concepts of Probability 4-3 Addition Rule 4-4 Multiplication Rule: Basics 4-5 Multiplication Rule: Complements and Conditional Probability 5. Discrete Probability Distributions 5-1 Review and Preview 5-2 Random Variables 5-3 Binomial Probability Distributions 5-4 Mean, Variance, and Standard Deviation for the Binomial Distribution 6. Normal Probability Distributions 6-1 Review and Preview 6-2 The Standard Normal Distribution 6-3 Applications of Normal Distributions 6-4 Sampling Distributions and Estimators 6-5 The Central Limit Theorem 6-6 Normal as Approximation to Binomial 6-7 Assessing Normality 7. Estimates and Sample Sizes 7-1 Review and Preview 7-2 Estimating a Population Proportion 7-3 Estimating a Population Mean: σ Known 7-4 Estimating a Population Mean: σ Not Known 8. Hypothesis Testing 8-1 Review and Preview 8-2 Basics of Hypothesis Testing 8-3 Testing a Claim About a Proportion 8-4 Testing a Claim About a Mean: σ Known 8-5 Testing a Claim About a Mean: σ Not Known 9. Inferences from Two Samples 9-1 Review and Preview 9-2 Inferences About Two Proportions 9-3 Inferences About Two Means: Independent Samples 9-4 Inferences from Dependent Samples 10. Correlation and Regression 10-1 Review and Preview 10-2 Correlation 10-3 Regression 11. Chi-Square and Analysis of Variance 11-1 Review and Preview 11-2 Goodness-of-Fit 11-3 Contingency Tables 11-4 Analysis of Variance
8.	METHODS OF INSTRUCTION:	To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus. Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately. The instructor may assign point values to such activities.
9.	ACADEMIC INTEGRITY:	The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:	Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made. Special Note for Online Section (01W):* You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP. *Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE* in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.