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Statistics and Financial Mathematics Question : Linear Models The effects of three different packaging materials for a particular product, the type of store or supermarket in which it is sold, and the position on a row of the shelves are being studied by a marketing company. The numbers sold in a week are recorded in the 3 x 3 Latin Square below. Packaging materials are A, B and C. Type of store Row on shelf a b C 1 A:31 B: 24 C:42 2 B:25 C: 39 A:20 3 C:37 A:26 B:27 (a) Use hand calculation to obtain an analysis of the data to discover whether there is evidence of significant difference between packaging materials, types of store and row on shelf (13 marks) (b) Packaging materials A and B are made of plastic whereas Cis thin cardboard. (1) Write down a suitable contrast (1 mark) (1) Use hand calculation to determine if there is a significant difference in sales between plastic and thin cardboard (6 marks) TOTAL 20 MARKS