# Math 1342 Statistics Information

## LSC-CyFair Math Department

### Catalog Description

Collection, analysis, presentation and interpretation of data, and probability.  Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing.  Use of appropriate technology is recommended.

### Course Learning Outcomes

The student will:

• Explain the use of data collection and statistics as tools to reach reasonable conclusions.
• Recognize, examine and interpret the basic principles of describing and presenting data.
• Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
• Explain the role of probability in statistics.
• Examine, analyze and compare various sampling distributions for both discrete and continuous random variables.
• Describe and compute confidence intervals.
• Solve linear regression and correlation problems.
• Perform hypothesis testing using statistical methods.
• Apply the Central Limit Theorem to the sampling process.

### Contact Hour Information

Credit Hours:  3
Lecture Hours:  3
Lab Hours:  0
External Hours:  0
Total Contact Hours:  48

### Prerequisites

MATH 0308 or 0309 OR placement by testing;

### Corequisites

Course may be taken with concurrent enrollment in Math 0242.

### Required Materials

Textbook:  Sullivan, Michael III, Interactive Statistics: Informed Decisions Using Data with Integrated Review, 2nd ed. with MyStatLab Access, Pearson Publishing, 2020,
Required: Students must buy an access code to MyStatLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyStatLab access at www.myStatLab.com
ISBN for hard copies of MyStatLab access codes: 9780135901106
Guided Notebook + MyStatLab access code (optional), ISBN:   9780136698876
Loose Leaf Text + free MyMathLab access, ISBN:   9780135991268

### Calculator:

Calculators may be required for some assignments/assessments at the discrection of the Instructor.  Refer to class syllabus for details.
Neither cell phones nor PDA’s can be used as calculators.  Calculators may be cleared before tests.

### Textbook Sections

Chapter 1.  Data Collection

1.1  Introduction to the Practice of Statistics

1.2  Observational Studies versus Designed Experiments

1.3  Simple Random Sampling

1.4  Other Effective Sampling Methods

1.5  Bias in Sampling

1.6  The Design of Experiments

Chapter 2.  Descriptive Statistics

2.1  Organizing Qualitative Data

2.2  Organizing Quantitative Data

2.3  Time Series Graphs

2.4  Graphical Misrepresentation of Data

Chapter 3.  Numerically Summarizing Data

3.1  Measures of Central Tendency

3.2  Measures of Dispersion

3.4  Measures of Position and Outliers

3.5  The Five Number Summary and Boxplots

Chapter 4.  Describing the Relation Between Two Variables

4.1  Scatter Diagrams and Correlation

4.2  Least Squares Regression

Chapter 5.  Probability

5.1  Probability Rules

5.2  The Addition Rule and Complements

5.3  Independence and the  Multiplication Rule

Chapter 6.  Discrete Probability Distributions

6.1  Discrete Random Variables

6.2  The Binomial Probability Distribution

Chapter 7.   The Normal Probability Distribution

7.1  Properties of the Normal Distribution

7.2  Applications of the Normal Distribution

Chapter 8.  Sampling Distributions

8.1  Distribution of the Sample Mean

8.2  Distribution of the Sample Proportion

Chapter 9.  Estimating the Value of a Parameter

9.1  Estimating a Population Proportion

9.2  Estimating a Population Mean

Chapter 10.  Hypothesis Tests Regarding a Parameter

10.1  The Language of Hypothesis Testing

10.2  Hypothesis Tests for a Population Proportion

10.3  Hypothesis Tests for a Population Mean

Chapter 11.  Inference on Two Samples
(Cover a Selection of Topics from this Chapter as Time Permits)

11.1  Inference About Two Population Proportions

11.2  Inference About Two Means: Dependent Samples

11.3  Inference About Two Means: Independent Samples