In addition to the other comparisons we drew from the donors dataset, in number 42 we compared donation amounts from two people, Seth Hathorn and Oliver Pettingill. The data frame called “donors” contains data from the Maine State Seminary records. The data contains the year, day, and month of the donation, the first and last name of the donor, the location where the donor lives, and the amount donated. For this comparison, we only used the 6th and 8th column because those are the ones containing the last name and the amount. Pettingill and Hathorn each donated 3 times, so both sets of data had the same number of elements or donations. The donations for Pettingill were $1, $1, and $10, whereas the donations for Hathorn were $200, $100, and $518. Because these donation amounts were quite varied between the two people,the p-value in the statistical analysis was smaller than in the previous statistical analysis in number 40. The P-value in this analysis was 0.1666, meaning that there is not any significant effect exists in the data. This means that last name does not affect the donation amount. For a better statistical analysis, it would be better to have more data in the vectors we are using. For a more accurate analysis, it would be better to have two last names with more donations. This conclusion does make sense because even though Pettingill’s donations were smaller than Hathorn’s, they were all relatively large or average donations at the time as compared to the rest of the data.
