Dec 08, 2024  
2024-2025 Course Catalog 
    
2024-2025 Course Catalog
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MATH 1025 - Statistics

Credits: 4
Hours/Week: Lecture 4 Lab 0
Internship hours per week 0
Course Description: This course is an algebra-based statistics course that introduces the basic concepts involved in collecting, analyzing, and interpreting data. Topics include graphs, frequency distributions, measures of central tendency and variation, probability, probability distributions, expected value, sampling distributions, normal distribution, confidence intervals, hypothesis testing for one and two population means and proportions, chi square, linear regression, and correlation. This course includes analysis and interpretation of data using technology.
MnTC Goals
4 Mathematics/Logical Reasoning

Prerequisite(s): Course placement into MATH 1025 or higher OR completion of MATH 0060  with a grade of C or higher OR MATH 0070  with a grade of C or higher OR MATH 1030  or above with a grade of C or higher OR MATH 0925  with a grade of C or higher OR concurrently enrolled in MATH 0925 .
Corequisite(s): None
Recommendation: Eligible for college-level Reading and English.

Major Content
  1. Organization of Data
    1. tables and graphs
    2. frequency distributions
  2. Linear Regression and Correlation
  3. Central Tendency
  4. Variation
  5. Probability
  6. Probability Distributions
  7. Sampling Distributions
  8. Confidence Intervals
  9. Hypothesis Testing
  10. Chi-Square

Learning Outcomes
At the end of this course, students will be able to:

  1. demonstrate critical and logical reasoning when solving problems.
  2. analyze and interpret data using technology.
  3. communicate clearly a problem’s solution and its explanation for the intended audience in terms of the problem posed.
  4. organize and interpret data using graphs, frequency distributions, and measures of central tendency.
  5. calculate probabilities of simple and compound events.
  6. analyze probability distributions, including binomial, normal, chi-square, and students t-distributions.
  7. apply statistical methods to normal distributions.
  8. compute and interpret confidence intervals for one and two population means and proportions.
  9. test hypotheses for one and two population means and proportions.
  10. perform chi-square claims tests and tests of independence.
  11. apply simple linear regression and correlation techniques.

Minnesota Transfer Curriculum (MnTC): Goals and Competencies
Competency Goals (MnTC Goals 1-6)
04. 01. Illustrate historical and contemporary applications of mathematical/logical systems.
04. 02. Clearly express mathematical/logical ideas in writing.
04. 03. Explain what constitutes a valid mathematical/logical argument (proof).
04. 04. Apply higher-order problem-solving and/or modeling strategies.

Theme Goals (MnTC Goals 7-10)
None


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