A tree nursery has been experimenting with fertilizer to increase the growth of seedlings. A sample of 35 two-year-old pine trees is grown for three more years with a cake of fertilizer buried in the soil near the trees' roots. A second sample of 35 two-year-old pine trees is grown for three more years under identical conditions (soil, temperature, water) as the first group, but not fertilized. Tree growth is measured over three-year period with the following results.

Trees with fertilizer

N1 = 35

Sample mean (X1) = 38.4 inches

Sigma1 = 9.8 inches

Trees without fertilizer

N2 = 35

Sample mean (X2) = 23.1 inches

Sigma2 = 7.4 inches

Do the data support the theory that the population of trees with the fertilizer grew significantly larger during the period in which they were fertilized than the nonfertilized trees? Use proportional to .01