Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: STAT 1
Full Course Title: Introduction To Statistical Methods
Short Title: Intro to Stats
TOP Code: 1701.00 - Mathematics, General
Effective Term: Spring 2016

### Course Standards

Course Type: Credit - Degree Applicable
Units: 4.0
Total class hours: 216.0
Total contact hours in class: 90.0
Lecture hours: 63.0
Lab hours: 27.0
Hours outside of class: 126.0
Repeatable: No

### Minimum Qualifications for Instructors

• Statistics (Masters Required)
• Mathematics (Masters Required)

### Course Description

The use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Applications using data from disciplines including business, social sciences, psychology, life science, health science, and education.

### Conditions of Enrollment

Satisfactory completion of: MATH 52 or (Placement Exam Score)a satisfactory score on the mathematics placement test possible for students to test into college level math/stat

• Language - recommended eligibility for English 1A

### Content

Course Lecture Content

Lecture

1. Descriptive Statistics
2. Sampling and Sampling Distributions
3. Probability
4. Binomial Distribution, Normal Distribution, and t-Distribution
5. Inferences - Estimation and Hypothesis Testing
6. Regression and Correlation
7. ANOVA
8. Chi-square Tests

Lab

1. Statistical analysis using Minitab or equivalent software
1. Descriptive Statistics
2. Sampling, and Sampling Distributions
3. Probability
4. Binomial Distribution, Normal Distribution, and t-Distribution
5. Inferences - Estimation and Hypothesis Testing
6. Regression and Correlation
7. ANOVA
8. Chi-square Tests

### Objectives

1. Distinguish among different scales of measurement and their implications **Requires Critical Thinking**

2. Interpret data displayed in tables and graphically **Requires Critical Thinking**

3. Apply concepts of sample space and probability **Requires Critical Thinking**

4. Calculate measures of central tendency and variation for a given data set

5. Identify the standard methods of obtaining data and identify advantages and disadvantages of each **Requires Critical Thinking**

6. Calculate the mean and variance of a discrete distribution

7. Calculate probabilities using normal and student’s t-distributions

8. Distinguish the difference between sample and population distributions and analyze the role played by the Central Limit Theorem **Requires Critical Thinking**

9. Construct and interpret confidence intervals **Requires Critical Thinking**

10. Determine and interpret levels of statistical significance including p-values **Requires Critical Thinking**

11. Interpret the output of a technology-based statistical analysis **Requires Critical Thinking**

12. Identify the basic concept of hypothesis testing including Type I and II errors **Requires Critical Thinking**

13. Formulate hypothesis tests involving samples from one and two populations **Requires Critical Thinking**

14. Select the appropriate technique for testing a hypothesis and interpret the result **Requires Critical Thinking**

15. Use linear regression and ANOVA analysis for estimation and inference, and interpret the associated statistics **Requires Critical Thinking**

16. Use appropriate statistical techniques to analyze and interpret applications based on data from disciplines including business, social sciences, psychology, life science, health science, and education. **Requires Critical Thinking**

### Student Learning Outcomes

1. Calculate and interpret measures of center and measures of dispersion for given data.
2. Find probabilities for applications involving normal random variables.
3. Construct and interpret a confidence interval for a population mean or proportion.
4. Formulate decisions about rejection or failures to reject hypotheses based on data/information provided. (CRT)

### Methods of Instruction

• Laboratory
• Lecture/Discussion

Delivery Methods
• Online

### Assignments

Writing Assignments
Other Assignments

Written component to problem solving assignments and to laboratory assignments.

Example homework assignment

From Triola text -

 2-2: 4, 5, 6, 9, 10, 13, 14, 15, 16, 21, 22

Example lab assignment

1. Use MINITAB to simulate rolling one die 600 times.  Make a histogram of the results and find the mean of the 600 rolls.  Mark the mean on the histogram.

2. Use MINITAB to simulate rolling two dice 600 times.  Find the mean of each roll.  Make a histogram of the means and find the mean of the 600 means.  Mark the mean on the histogram.

3. Use MINITAB to simulate rolling five dice 600 times.  Find the mean of each roll.  Make a histogram of the means and find the mean of the 600 means.  Mark the mean on the histogram.

4. Report on the similarities and differences of the results you obtained.  Refer to average, spread, and shape.

### Methods of Evaluation

• Exams
• Homework
• Laboratory Assignments
• Participation
• Portfolio
• Problem Solving Exercises
• Quizzes

### Course Materials

Textbooks:
1. Triola. Essentials of Statistics, 5TH ed. Pearson, 2015, ISBN: 0-321-92459-2
Equivalent text is acceptable
Other:
1. Scientific Calculator (TI 30 or equivalent)
2. Lab Manual (possibly)
3. Minitab student version (software) (possibly)