This report is prepared as the final project submission for the Statistical Inference course offered by Johns Hopkins University on Coursera. In the first part of this report, a simulation is conducted to evaluate the distribution of the sample mean and variance for an exponential distribution. The simulation includes comparisons between the sample means and theoretical mean, sample variance and theoretical variances, and concludes with a confirmation on the normal distribution of sample means.

This report is prepared as the final project submission for the Statistical Inference course offered by Johns Hopkins University on Coursera. This second part of the report analyses Tooth Growth data from the R package to infer relationships between tooth growth and supplement dosage, supported by hypothesis testing and conclusions. The report concludes that dosage significantly affects the tooth growth response rate in Guinea Pigs, but the choice of supplement is does not have a statistically significant impact beyond a dosage of 1.0 mg/day.

This report provides a basic analysis on the health and economic impact of adverse weather events based on the National Oceanic and Atmosphere Administration's (NOAA) data set, and is submitted as a final project for Coursera's Reproducible Research course.