An apple grower gets an average of 226 kilograms of apples, per tree. A fertiliser company claims that their newest fertiliser will increase the average weight of fruit grown per tree. The farmer uses the new fertiliser and takes a random sample of 30 apple trees and finds an average of 229 kilograms of apples per tree with a standard deviation of 12.4 kilograms. Assume the conditions are satisfied and do NOT need to be checked.

A) Write the hypotheses to test the fertiliser company's claim.

B) You are told that the calculated test statistic value is 1.325, do NOT re-calculate this. Find thecorresponding critical value, if testing at the 1% level of significance.

C) Give your decision, with your reasoning, for this hypothesis test AND give your conclusion addressing the claim.

D) Describe a Type II error in the context of this question.