MAT 124 - Statistics I
Sampling theory, organization and presentation of data, measures of central tendency, variance, standard deviation, exploratory data analysis, correlation and regression, normal distributions, student's t-distributions, binomial distributions, statistical inference, hypothesis testing, confidence intervals, use of a statistical software package.
Prerequisite: MAT 093 Integrated Arithmetic and Basic Algebra (4 credit) or equivalent
3 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
1. Define a population, a sample, and random sampling.
2. Find and work with a published data set.
3. Collect data on a random variable.
4. Group data, make frequency tables and graphically display information.
5. Compute the mean, median, mode, standard deviation, and variance for raw data.
6. Find the coefficient of correlation for a set of paired data.
7. Write the equation of the least squares regression line.
1. Interpret the slope of the equation of least square regression line, and use equation to make and interpret predictions.
2. Find probabilities using definitions, some rules of probability, and normal, t, and binomial distributions.
3. Find areas under the standard normal curve.
4. Apply the Central Limit Theorem.
5. Analyze data on a random variable.
6. Set up confidence intervals for means and proportions for large samples.
7. Set up confidence intervals for means for small samples.
8. Perform large sample hypothesis testing on means and differences of means.
9. Perform large sample hypothesis testing on proportions and differences of proportions.
Statistical Software Package:
1. Create bar charts, histograms, stem-and-leaf displays, and boxplots.
2. Produce descriptive statistics including mean, median, standard deviation, minimum, maximum, and quartiles for a data set.
3. Create scatterplots both with and without the graph of the least squares regression line.
4. Produce the value of the correlation coefficient and the equation of the least squares regression line.
5. Produce confidence intervals.
6. Conduct tests of hypotheses on means, proportions, difference of means, and differences of proportions.
This course prepares students to meet the Mathematics General Education requirement.
In the context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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