Question: Rates of application 0, 20, 40, 60, 80 and 100 of a product were investigated in an experiment. There were 4 independent replications of each rate. The total variation measured in the data was 842.2451921, and the variation among the rate means was 647.0860792.

A) Use the information to construct the ANOVA table to include: df, SS, MS, F and p

B) Write the hypothesis being tested, the rejection region (alpha=0.01), and a complete conclusion.

C) Assuming the test is significant in parts 1 and 2 (this may or may not be the case) compute the least significant difference for comparing means. Using the superscripting (lettering) method, identify which of the rates differ. Use MSE=10.25 in your calculations for this part and alpha=0.01

n=4

level of rate/ Response mean

0/1947.18441

20/1946.49998

40/1953.41192

60/1950.00525

80/1962.11919

100/1951.52967