1. A milk company has several machines that fill jugs with milk. The QC Manager of the company is interested in determining whether averages fill for these machines are the same. A partially completed Analysis of Variance table is shown in Table C. Table C Source Sum of Degrees of Squares Freedom Mean Square F Treatments 18.4 6 (iii) (i) (iv) (v) Error (ii) Total 45.2 41 (a) Calculate the value for (i)-(v) from the table. ( 10 ) (b) Calculate the number of machines used in the study. (2) (c) Calculate the total number of observations involved in the study. (2) (d) Help the QC Manager to decide whether averages fill for these machines are the same or not using a = 0.05. (6)