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Dec 03, 2024
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MTH 209HW - Statistics- HonorsCredits: 4 Instructional Contact Hours: 4
Studies statistical concepts including frequency distributions, measures of central tendency and dispersion, probability, confidence intervals, hypotheses testing, linear correlation and regression, chi-square, ANOVA, non-parametric tests.Credit may be earned in MTH 209W , MTH 209AW or MTH 209HW.
Prerequisite(s): High school GPA of 3.0 or higher within the last ten years OR completion of Guided Self-Placement (GSP) process. - Must be completed prior to taking this course or Permission of the Honors Office. Corequisite(s): None Lecture Hours: 60 Lab Hours: 0 Meets MTA Requirement: Math Pass/NoCredit: Yes
Outcomes and Objectives
- Apply standard measures of descriptive statistics.
- Calculate, describe, and apply measures of center (mean, median, mode).
- Calculate, describe, and apply measures of variation (standard deviation, variance range).
- Calculate, describe, and apply percentiles.
- Calculate, describe, and apply graphs (frequency distributions, histograms, stem and leaf plots, box and whisker plots).
- Demonstrate understanding of statistical inference.
- Identify different methods of data collection.
- Calculate and describe basic probability.
- Calculate probability using the binomial distribution, the normal distribution, and the central limit theorem.
- Use correlation and regression to describe relationships between numerical variables.
- Calculate confidence intervals to estimate population averages and proportions.
- Manually perform all of the steps of a hypothesis test for a claim about the population mean. Students will demonstrate their understanding of the significant level of a test and the use of p-values in statistical software.
- Determine the appropriate test statistic and make inferences for a variety of models, including single sample mean (large and small sample), proportion and variance, two sample mean and proportion, Chi Square and ANOVA.
- Determine the appropriate non-parametric test statistic and make inferences for a variety of models, including sign test, Wilcoxon Signed-Rank test for Matched pairs, Kruskal-Wallis Test and Rank Correlation.
- Communicate an understanding of statistical concepts in writing.
- Demonstrate knowledge of a statistical computer software package.
- Practice independent, intellectual curiosity.
- Complete at least one significant project which demonstrates higher level, academic rigor
- Apply higher level, critical thinking skills to deepen understanding of course material.
- Actively engage with peers in discussions, seminars, or other formats to enhance the depth of knowledge of the relevant material.
- Practice independent, intellectual curiosity.
- Complete at least one significant project that demonstrates higher level, academic rigor.
- Apply higher level, critical thinking skills to deepen understanding of course material.
- Actively engage with peers in discussions, seminars, or other formats to enhance the depth of knowledge of the relevant material.
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