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, chisquare 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 oneor twotailed 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 goodnessoffit 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 nonparametric tests
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