# MAT 157 - Statistics **Credits:** **4**
**Lecture Hours:** **4**
**Lab Hours:** **0**
**Practicum Hours:** **0**
**Work Experience:** **0**
**Course Type:** **Core** Tabular and graphical presentation, measures of central tendency and variability, standard elementary procedures involving the binomial, normal, student’s T, chi-square and F distributions, correlation, regression, analysis of variance and several nonparametric procedures.
*Prerequisite:* Minimum ALEKS score of 30% or MAT 064 with a C- or better.
**Competencies**
- Discuss statistical processes
- Compare and contrast various sampling methods
- Distinguish between data types
- Discuss the impact of experimental design on experimental results, and
- Discuss ethical issues involved in establishing an hypothesis test
- Generate standard displays of data
- Create appropriate tables, charts, and graphs
- Calculate representative values of a distribution
- Calculate positional values of a distribution, and
- Calculate measures of dispersion of a distribution
- Demonstrate fundamentals of probability
- Relate experimental and theoretical probability
- Calculate simple probability, and
- Calculate the probability of simple, compound, conditional, independent, and mutually exclusive events
- Analyze probability distributions
- Define a probability distribution in terms of a random variable
- Calculate the descriptive values of a given probability distribution
- Compare and contrast discrete and continuous distributions
- Determine the probabilities of events from appropriate distribution tables, and
- Apply the normal distribution to binomial events, when appropriate
- Discuss sampling distributions
- State the conditions of the central Limit Theorem
- Find the mean and standard error of a sampling distribution, and
- Compare and contrast the standard deviation of a sample to the standard error of a sampling distribution
- Discuss the basics of hypothesis testing
- Distinguish between Type I and Type II errors
- Discuss the impact of choosing a particular significance level
- State the purpose of the hypotheses
- State the possible conclusion for an hypothesis test, and
- Determine the appropriateness of a one-or two-tailed test
- Perform significance tests
- Write appropriate hypotheses
- Execute tests on the mean, proportion, and variance when one population is being studied
- Execute tests on the difference of the means and proportions and on the ratio of the variances when two populations are being studied
- Perform goodness-of-fit tests
- Perform tests on contingency tables, and
- Write a clear conclusion for each significance test
- Construct confidence intervals
- Estimate the parameter value.
- Calculate the estimate of error, and
- Determine the sample size needed to restrict error to a given limit
- Implement the Analysis of Variance technique
- State what is being tested
- Write the appropriate hypothesis
- Complete an ANOVA table, and
- State the conclusion of the test
- Operate on bivariate data, and
- Determine Pearson’s Product Moment, r,
- Determine the line of best fit
- Test the correlation value r for significance, and
- Test the regression coefficients for significance
- Execute various non-parametric tests
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