ISE 3040 - Fundamentals of Statistics

• Calculate confidence intervals for mean, difference in means, variance, ratio of two variances, proportion, difference in two proportions.
• Calculate expected values and variance for discrete distributions.
• Calculate mean and variance for a random sample.
• Calculate required number of samples to achieve a specific statistical power for a hypothesis test for population means.
• Calculate statistical power for a hypothesis test for population means.
• Compare two populations for mean and variation using statistics from a random sample.
• Describe the parameters and the application of common probability functions: uniform (discrete), Binomial, and Normal.
• Determine best measure of central tendency for a sample from a known population distribution.
• Determine best methods for graphical presentation of data and statistical analyses.
• Distinguish between discrete and continuous random variables.
• Estimate population proportions using binomial tables and normal approximations to the binomial, for small and large samples respectively.
• Perform one-way ANOVA.
• Perform randomized complete block ANOVA.
• Perform simple linear regression.
• Perform single sample and 2-sample hypothesis tests for mean, variance, and proportion.
• Plot X, Y data and identify linear and transformable patterns.
• Use ANOVA techniques to identify weak regression models.
• Use Minitab and functions in Microsoft Excel for basic statistical analysis.
• Use tables to calculate probability for the following distributions: Normal, T, F, chi-square.