mth540 | Graduate
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Introduction to Statistics
- Explain the value of statistics as it relates to you.
- Calculate the mean, median, and mode for grouped and ungrouped data.
- Develop a frequency distribution based on raw data.
- Identify the various symbols and nomenclature used in statistics.
- Describe the importance of statistics.
Introduction to Inferential Statistics and Test of Hypothesis
- State the five steps in the decision rule.
- Formulate null and alternative hypotheses.
- Calculate a test statistic in a one-tailed and two-tailed z- test.
- Determine statistically whether to accept or reject the null hypothesis.
- Interpret the results of a hypothesis test.
- Perform a chi-square test using equal and unequal expected frequencies.
- Determine normality using a Goodness-of-Fit Test.
Regression and Correlation
- Calculate coefficient of correlation and coefficient of determination.
- Develop a single linear regression equation.
- Predict the value of y for a given value of x using a single linear regression equation.
- Calculate standard error of estimate, confidence intervals, and prediction intervals.
- Interpret standard error of estimate, confidence intervals, and prediction intervals.
Distribution and Variation
- Determine whether or not data is normally distributed.
- Utilize graphical representation to display data.
- Differentiate among the various levels of measurement.
- Calculate range, variance, and standard deviation for grouped and ungrouped data.
- Interpret the significance of standard deviation using the Empirical Rule.
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