### AMS 102, Elements of Statistics

*Catalog Description*: The use and misuse of statistics in real-life situations. Basic statistical measures
of central tendency and dispersion; frequency distributions; elements of probability,
binomial and normal distributions; small- and large-sample hypothesis testing, confidence
intervals, and chi-square test; and regression. (May not be taken by students with
credit for AMS
110 , 110,
310 , or
311 ; ECO 320; PSY 201 or SOC 311,312.).

*Prerequisite*: Satisfaction of Entry Skill in Mathematics.

3 credits

**
Mandatory Course Materials for Summer and Fall 2018:
**

**
Students with a Voucher MUST Purchase Materials through Follett Discover (SBU Bookstore):**

https://www.bkstr.com/sbuweststore/shop/textbooks-and-course-materials

**
Once you have the access card in hand, follow these steps:
**

- Log in to your Blackboard Account, and access Course AMS 102
- Left margin will contain a link for “MyLab Statistics”
- Click into ANY of the links that appear on the right side of the screen.
- Follow the instructions to register.
- When prompted, you can click the “Use an Access Code” option, and enter the code from the paper access card you have from the bookstore.
- Once complete, you can click “Go to Your Course”

**Students without a Voucher Can Purchase through Follett, or May Purchase Materials
directly through their MyLab Statistics course in Blackboard:
**

- Log in to your Blackboard Account, and access Course AMS 102
- Left margin will contain a link for “MyLab Statistics”
- Click into ANY of the links that appear on the right side of the screen.
- Follow the instructions to register.
- When prompted, you can click the “Use an Access Code” option if you purchased from Follett, or can BUY HERE using a Credit Card or Paypal.
- Once you complete this transaction, you can click “Go to Your Course"

**Both options above will include Pearson eText; no physical textbook**

- If you wish to purchase a loose-leaf version of the text, you can click “PURCHASE OPTIONS” from your MyLab Statistics course, and order a $49.95 copy mailed directly to you.

**Topics**

1. Introduction and Concept of Randomized Experiments – 5 class hours

2. Elements of Probability Theory - 6 hours

3. Tests of Hypothesis - 4 class hours

4. Conditional Probability and its Applications - 3 class hours

5. Confidence Intervals - 4 class hours

6. Student's t test - 3 class hours

7. Cross-Tabulation Analysis - 5 class hours

8. Linear Regression - 6 class hours

9. Examinations and Review – 6 class hours.

**Learning Outcomes for AMS 102, Elements of Statistics**

1.) Describe and apply the process of statistical investigations from conception through
conclusion. This process involves:

* formulating questions and collecting data;

* analyzing data and drawing inferences;

* interpreting results and communicating conclusions.

2.) Demonstrate facility with, and a solid conceptual understanding of, the key tools
of data analysis, including:

* histograms;

* box plots, stem-and-leaf plots and other graphical displays;

* measures of central tendency;

* measures of dispersion.

3.) Demonstrate knowledge of elements of probability and key probability distributions,
including:

* probability of an event, sample space, equi-probable outcomes;

* conditional probability and Bayes’ theorem;

* binomial distribution;

* normal distribution.

4.) Demonstrate facility with, and a solid conceptual understanding of, the key tools
of statistical inference, including:

* z-scores;

* estimation of intervals;

* testing hypotheses, including Type 1 and Type 2 errors.

5.) Perform important statistical procedures, such as:

* t-test;

* linear regression.

6.) Work with technology to:

* analyze data graphically;

* analyze data numerically;

* analyze data inferentially.

7.) Decide which statistical methods to use in which situations:

* recognizing which statistics tests apply in a situation;

* checking the necessary conditions for those methods to be valid.

8.) Use statistics to address the research question at hand.

* interpret the results of statistical analyses to answer the research question;

* communicate conclusions that follow from the statistical analyses of the
question.

9.) Demonstrate an appreciation of the power and scope of statistical thinking for addressing research questions in a variety of scientific disciplines and in everyday life.