Instructions: Show all your work. Indicate clearly the methods you use. You will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1. Sweet corn of a certain variety is known to produce individual ears of corn with a mean weight of 8 ounces. A farmer is testing a new fertilizer designed to produce larger ears of corn, as measured by their weight. He selects a random sample of 10 ears of corn and determines their weight (in ounces). The data are as follows: 8.25 7.35 9.05 8.00 8.25 8.75 9.00 7.60 8.45 8.55 Do the data provide convincing evidence at the a = 0.05 level that the fertilizer had a positive impact on the weight of the corn ears