Course Description:Â

A one semester course designed as an introduction to the basic ideas of data presentation, descriptive statistics, linear regression, and inferential statistics including confidence intervals and hypothesis testing. Basic concepts are studied using applications from health, education, business, social science, and the natural sciences. The course uses spreadsheet software for both data analysis and presentation.

- This course also meets PLO #(s) 3.1 and 3.2 of the GEN ED program
- Prerequisite Courses: ESL 089 and passing any 100 level or higher mathematics course.

**A. PROGRAM LEARNING OUTCOMES (PLOS):**

The student will be able to:

- Demonstrate understanding and apply mathematical concepts in problem solving
*and*in day to day activities. - Present and interpret numeric information in graphic forms.

The student will be able to:

- Perform basic statistical calculations
- Obtain results using normal and t-distributions
- Perform linear regressions

SLO |
PLO1 |
PLO2 |

1 |
ID |
ID |

2 |
ID |
I |

3 |
ID |
ID |

I = Introduced

D = Demonstrated

M = Mastered

**C. STUDENT LEARNING OUTCOMES (SLOS) - SPECIFIC:**

General SLO 1. Perform basic statistical calculations.

Student Learning Outcomes |
Assessment Strategies |

1.1 Identify levels of measurement and appropriate statistical measures for a given level of measurement |
Homework, quizzes and/or tests, data gathering project(s). |

1.2 Determine frequencies and relative frequencies, create histograms and identify their shape visually. |
Homework, quizzes and/or tests, data gathering project(s). |

1.3 Calculate basic statistical measures of the middle, spread, and relative standing. |
Homework, quizzes and/or tests, data gathering project(s). |

1.4 Calculate simple probabilities for equally likely outcomes. |
Quizzes and/or tests. |

1.5 Determine the mean of a distribution. |
Quizzes and/or tests. |

General SLO 2. Obtain results using normal and t-distributions

Student Learning Outcomes |
Assessment Strategies |

2.1 Calculate probabilities using the normal distribution |
Homework, quizzes and/or tests. |

2.2 Calculate the standard error of the mean |
Homework, quizzes and/or tests. |

2.3 Find confidence intervals for the mean |
Homework, quizzes and/or tests. |

2.4 Perform hypothesis tests against a known population mean using both confidence intervals and formal hypothesis testing |
Homework, quizzes and/or tests. |

2.5 Perform t-tests for paired and independent samples using both confidence intervals and p-values |
Homework, quizzes and/or tests, data gathering project(s). |

General SLO 3. Perform Linear Regressions

Student Learning Outcomes |
Assessment Strategies |

3.1 Calculate the linear slope and intercept for a set of data |
Homework, quizzes and/or tests, data gathering project(s). |

3.2 Calculate the correlation coefficient r |
Homework, quizzes and/or tests, data gathering project(s). |

3.3 Generate predicted values based on the regression |
Homework, quizzes and/or tests. |

**D. COURSE CONTENT**

- Populations and samples
- Visualizing data
- Measures of middle and spread
- Paired data and scatter diagrams
- Probability
- Probability distributions
- Introduction to the normal distribution
- Normal distribution and z-Values
- Confidence intervals for the mean
- Hypothesis testing against a known population mean
- Hypothesis testing two sample means

**E. METHODS OF INSTRUCTION**

The course will be taught by lecture, class discussion, and the use of spreadsheet software for problem solving and computer simulations. This course will be taught in a computer laboratory classroom. Also, students will be encouraged to utilize the computer labs outside of class for homework assignments.

**F. REQUIRED TEXT AND COURSE MATERIALS**

**G. REFERENCE MATERIALS**

**H. INSTRUCTIONAL COSTS
**

**I. EVALUATION**

None.

**J. CREDIT-BY-EXAMINATION**

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