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Dec 05, 2024
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MAT 156 - Statistics Credits: 3 Lecture Hours: 3 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Core Provide students with a foundation in statistics through the topics of collection, organization, and presentation of data; descriptive statistics; elementary probability; normal and Student t distributions; elements of statistical inference; estimation and hypothesis testing; and linear correlation and regression. Prerequisite: Minimum ALEKS score of 30% or MAT 064 with a C- or better or Corequisite of MAT 856 with a minimum ALEKS score of 20%. Competencies
- Analyze statistical processes
- Classify various sampling methods and potential biases
- Distinguish between data types
- Identify the impact of sampling methods on observational studies
- Identify the impact of experimental design on experimental results
- Create appropriate data representations
- Construct tables, charts, and graphs
- Calculate measures of center, position, and spread
- Interpret measures of center, position, and spread
- Evaluate linear correlation and linear model
- Determine the correlation coefficient and line of best fit
- Interpret the correlation coefficient and line of best fit
- Examine the line of best fit using the coefficient of variation
- Generate the appropriate predicted values from the linear model
- Examine fundamentals of probability.
- Utilize empirical and theoretical probability
- Distinguish between usual and rare events
- Evaluate sampling distributions
- Apply the Central Limit Theorem
- Calculate the mean and standard error of a sampling distribution
- Assess point estimators in relation to sampling distributions
- Support statistical inference with confidence intervals
- Determine confidence intervals for one and two sample scenarios
- Interpret confidence intervals for one and two sample scenarios
- Discuss the relationship between sample size, confidence level, and interval width
- Support statistical inferences by using confidence intervals
- Choose appropriate hypothesis test regarding one population parameter
- Test claims about population proportions and means
- Evaluate claims about population proportions and means using P-values
- Discuss potential Type I and Type II errors of hypothesis tests
- Choose appropriate hypothesis test regarding two population parameters
- Test claims about the difference of two independent means and proportions
- Evaluate claims about two means and proportions using P-values
- Perform a matched pairs t-test
Competencies Revised Date: AY2023
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