What This Document Is
This is a lab assignment (Lab Eight) for Emory University’s QTM 100: Introduction to Statistical Inference course, completed by Grace Essien on March 18, 2016. It focuses on applying inferential statistical methods to two datasets: `height_m` and `days smoke`. The assignment involves exploring data distributions, performing hypothesis tests, and evaluating the performance of these methods through simulation.
Why This Document Matters
This assignment is intended for students enrolled in QTM 100. It serves as a practical exercise to reinforce concepts learned in class regarding sampling distributions, hypothesis testing, confidence intervals, and Type I errors. It’s used to assess a student’s ability to implement these statistical techniques using code and interpret the results.
Common Limitations or Challenges
This document represents a single student’s work and results. It does not provide a comprehensive explanation of the underlying statistical concepts, nor does it offer a definitive “correct” answer. It’s a demonstration of applying methods, and individual results may vary.
What This Document Provides
The assignment includes:
* Exploration of the `height_m` and `days smoke` datasets.
* Hypothesis tests with a significance level of α = 0.05.
* Simulation results showing Type I error rates and confidence interval coverage.
* Histograms and frequency plots visualizing distributions of sample means, t-test statistics, and p-values.
* Observations on whether sampling distribution assumptions are met for each dataset.
* A table summarizing observed Type I error rates and confidence interval coverage for different sample sizes (n=20, 50, 100) for `height_m`.
This preview does *not* include the code used to generate the results, a detailed explanation of the statistical theory, or a complete analysis of the findings. It is a snapshot of a completed assignment.