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Oct 03, 2024
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2023-2024 WWCC College Catalog [ARCHIVED CATALOG]
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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:
- Summarizing data: measures of center, variation, relative standing, variance, and standard deviation.
- Graphing data: histograms, boxplots, stem-and-leaf plots, and frequency distributions.
- Calculating probability: Addition Rule, Multiplication Rule.
- Utilizing normal probability distributions: quartiles, z-scores, percentiles, Central Limit Theorem and t-distributions.
- Confidence intervals: estimating population proportions and means involving one and two samples or matched pairs.
- Hypothesis testing: finding P-values and writing conclusions for claims about means, proportions, and linear correlation.
- Interpreting correlation and writing regression equations (scatterplots, correlation coefficient, residuals, least-squares property).
- Performing chi-square test for goodness of fit.
Course Attribute(s): Natural Science, PT Computation/Mathematics, Quantitative
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