Introduction to Statistics

• Discuss the importance of statistics.
• Explain the value of statistics as they relate 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.

Distribution and Variation

• Determine whether or not data is normally distributed.
• Utilize graphical representation to present 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.

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.
• Define Type I and II errors and state their relationship to the alpha level.

Chi-square Applications

• Perform a chi-square test using equal and unequal expected frequencies.
• Determine normality using a Goodness-of-Fit Test.
• Interpret the results of a one-way and two-way ANOVA.

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.