Interpretation and Inference – Drawing Conclusions

Topics

• Using Statistics – Analyzing Data through Understanding Underlying Probability
• Hypotheses, Hypothesis Testing, and Error
        Task:   Accepting/Rejecting Hypotheses
• Confidence Intervals for Normal Variables
        Task:   Confidence Intervals for a Normal Random Variable
• Distribution of Averages for Normal Variables
        Task:   Confidence Intervals for the Average of a Sample of a Normal Random Variable

        Task:   Controlling Confidence Intervals with Sample Size

• Estimating the Mean of a Normal Variable from a Sample
• Sums of Chi-square Variables and Approximation of Variance
• Estimating Means and Variances in General
        Task:   Find Confidence Intervals for Proportions

        Task:   Estimate the Difference of the Means of Two Normal Random Variables

        Task:   Estimate the Difference of Two Proportions

• Small Sample Sizes
• Hypothesis Testing Using Confidence Intervals