Nov 04, 2024  
2024-2025 WWCC College Catalog 
    
2024-2025 WWCC College Catalog

MATH& 146 - Introduction to Statistics


Credits: 5
LEC hours per week: 5
Study of both descriptive and inferential statistics. Topics include data presentation and analysis, measures of central tendency and dispersion, sampling distributions, parameter estimation, hypothesis testing, and linear regression. Formerly: MATH 201.
Prerequisite(s): Course requires concurrent enrollment in MATH 046  OR having met one of the following prerequisites: grade of P in MATH 037 , MATH 041 , or MATH 046 ; grade of C or higher in MATH 078 , MATH 078 E, or MATH 079 ; appropriate placement; or Math Department permission.
Course Outcomes:
  • Interpret values and draw conclusions from data using appropriate technology.
  • Construct graphical displays to organize data and illustrate relationships.
  • Examine data sets and graphical displays and summarize using appropriate numerical measures.
  • Compute and analyze probabilities.
  • Construct confidence intervals for population parameters and generate conclusions.
  • Perform hypothesis tests and justify conclusions.
Course Topics:
  1. Summarizing data: measures of center, variation, relative standing, variance, and standard deviation.
  2. Graphing data: histograms, boxplots, stem-and-leaf plots, and frequency distributions.
  3. Calculating probability: Addition Rule, Multiplication Rule.
  4. Utilizing normal probability distributions: quartiles, z-scores, percentiles, Central Limit Theorem and t-distributions.
  5. Confidence intervals: estimating population proportions and means involving one and two samples or matched pairs.
  6. Hypothesis testing: finding P-values and writing conclusions for claims about means, proportions, and linear correlation.
  7. Interpreting correlation and writing regression equations (scatterplots, correlation coefficient, residuals, least-squares property).
  8. Performing chi-square test for goodness of fit.
Course Attribute(s): Natural Science, PT Computation/Mathematics, Quantitative