Cedar-apple rust is a disease that affects apple trees and causes rust-coloured spots on the leaves. Red cedar trees are the primary source of the fungus that infects the apple trees. An experiment was conducted to determine the effect of removing all red cedar trees within 100 yards of the orchard. In year 1 the numbers of leaves with rust spots on each of 8 trees were counted. All red cedar trees within 100 yards of the orchard were felled in the winter and the following year the same trees were examined for rust spots. The results were as follows:
Tree 1 2 3 4 5 6 7 8
Year 1 38 10 84 36 50 35 73 48
Year 2 32 16 57 28 55 12 61 29
Stating clearly any assumptions that you make, carry out a suitable hypothesis test to determine whether the removal of the red cedar trees has reduced the mean number of leaves with rust spots
I have begun by finding the sample mean of the year 1 data which is 46.75.
Would by text hypothesis be:
H0: μ=46.75 versus H1:=μ<46.75?