In this report, we utilize the ToothGrowth dataset to explore the effect of dosage and delivery method of vitamin C on tooth length in guinea pigs. Using T tests and assuming non-equal variance between groups, we show that while there is not a significant difference between methods of vitamin C administration, there is a positive relationship between the dose of vitamin C and the length of teeth in guinea pigs.

This project is an investigation of the exponential distribution compared to the normal distribution under the Central Limit Theorem, which states that, regardless of the distribution, with a sufficiently large sample size the arithmetic mean of any random variable will be normally distributed. We compare the observed mean and variance to the theoretical mean and variance to show that the exponential distribution can, in fact, be modeled by a normal distribution.

The overall goal of this project is to explore the National Emissions Inventory database and see what it says about fine particulate matter pollution in the United states over the 10-year period 1999-2008.

The questions investigated in this report are: what types of storms have had the most significant impact on public health (the most human injuries and deaths); and what types of storms have had the most significant economic impact (the greatest monetary damage). Based on the analysis, we show that among the top four most significant types of storms for both humans and economic goods are tornados and floods.