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
1. Classify various sampling methods and potential biases
2. Distinguish between data types
3. Identify the impact of sampling methods on observational studies
4. Identify the impact of experimental design on experimental results
Create appropriate data representations
1. Construct tables, charts, and graphs
2. Calculate measures of center, position, and spread
3. Interpret measures of center, position, and spread
Evaluate linear correlation and linear model
1. Determine the correlation coefficient and line of best fit
2. Interpret the correlation coefficient and line of best fit
3. Examine the line of best fit using the coefficient of variation
4. Generate the appropriate predicted values from the linear model
Examine fundamentals of probability.
1. Utilize empirical and theoretical probability
2. Distinguish between usual and rare events
Evaluate sampling distributions
1. Apply the Central Limit Theorem
2. Calculate the mean and standard error of a sampling distribution
3. Assess point estimators in relation to sampling distributions
Support statistical inference with confidence intervals
1. Determine confidence intervals for one and two sample scenarios
2. Interpret confidence intervals for one and two sample scenarios
3. Discuss the relationship between sample size, confidence level, and interval width
4. Support statistical inferences by using confidence intervals
Choose appropriate hypothesis test regarding one population parameter
1. Test claims about population proportions and means
2. Evaluate claims about population proportions and means using P-values
3. Discuss potential Type I and Type II errors of hypothesis tests
Choose appropriate hypothesis test regarding two population parameters
1. Test claims about the difference of two independent means and proportions
2. Evaluate claims about two means and proportions using P-values
3. Perform a matched pairs t-test

Competencies Revised Date: AY2023