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An experiment is conducted to evaluate four advertising strategies on the consumer knowledge of the product advertised. The researcher believe that four advertising strategies have an effect on consumer knowledge. He had decided to run the experiment at four randomly selected areas of the country. He also claimed that the consumer's knowledge is affected by the area they lived. The result is coded as follows: Areas Total 1 Advertising Strategies 1 2 3 A = 63 C = 63 D = 65 A = 64 B = 65 C = 65 B = 57 C = 58 D = 62 191 2 194 3 177 4 A = 61 B = 62 D = 65 188 Total 245 248 257 750 = 46,956 (a) What is the most appropriate design for the data above? State whether fixed or random. [2 marks] (b) i) Discuss how to achieve balance in this design. Is this design balanced? Justify your answer. [3 marks] ii) Is this design symmetric? Justify your answer. [2 marks] An experiment is conducted to evaluate four advertising strategies on the consumer knowledge of the product advertised. The researcher believe that four advertising strategies have an effect on consumer knowledge. He had decided to run the experiment at four randomly selected areas of the country. He also claimed that the consumer's knowledge is affected by the area they lived. The result is coded as follows: Areas Total 1 Advertising Strategies 1 2 3 A = 63 C = 63 D = 65 A = 64 B = 65 C = 65 B = 57 C = 58 D = 62 191 2 194 3 177 4 A = 61 B = 62 D = 65 188 Total 245 248 257 750 = 46,956 (a) What is the most appropriate design for the data above? State whether fixed or random. [2 marks] (b) i) Discuss how to achieve balance in this design. Is this design balanced? Justify your answer. [3 marks] ii) Is this design symmetric? Justify your answer. [2 marks]