Clouds were randomly seeded or not with silver nitrate. Rainfall amounts were recorded from the clouds. The purpose of the experiment was to determine if cloud seeding increases rainfall. The following data is obtained:
Seeded: 2745.6, 1697.8, 1656, 978, 703.4, 489.1, 430, 334.1, 302.8, 274.7, 274.7, 255,
242.5, 200.7, 198.6, 129.6, 119, 118.3, 115.3, 92.4, 40.6, 32.7, 31.4, 17.5, 7.7, 4.1
Unseeded: 1202.6, 830.1, 372.4, 345.5, 321.2, 244.3, 163, 147.8, 95, 87, 81.2, 68.5, 47.3,
41.1, 36.6, 29, 28.6, 26.3, 26.1, 24.4, 21.7, 17.3, 11.5, 4.9, 4.9, 1
Transformations are a common method of "fixing" datasets that do not meet required assumptions. Transforming a data set is applying an invertible, one to one transformation to the data, replacing the data point y with z=f(y). One of the most common transformations is the log transform. Apply the log transform to the data, replacing each data point y with z=ln(y).