Discuss the below:
Q: A tree nursery has been experimenting with fertilizer to increase the growth of seedlings. A sample of 35 two year-old pine trees are 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 are grown for three more years under identical conditions (soil, temperature, water) as the first group, but not fertilized. Tree growth is measured over the three year period with the following results.
Trees with Fertilizer Trees Without Fertilizer
n1= 35 n2 = 35
x1‾ = 38.4 inches X2‾ = 23.1 inches
σ1‾= 9.8 inches σ2‾ = 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 non fertilized trees? Use α=0.01