A company is testing the impact of 4 different pricing policies "P":(A, B, C&D) and four different sales volumes classes "S":(1, 2, 3 &4) on sales in different Geographical locations "G". The table shows the sales (in $1000) with the pricing policy showing appopriately North East East Midwest South East S P $ P $ P 1 A 19.2 15.4 6.6 D 10.5 2 B C 5.3 D 8.2 16.8 f 3 4.2 D 9.4 A 14.6 B 8.5 4 D 8.4 13.3 B 7.6 6.2 Requirements: a. What would be the objective of the response in this case? How many factors, levels & replicates in this case b. Using an L16 Orthogonal Array, set up an appropriate TCS c. Is there a difference in pricing policies in terms of mean sales, based on a=0.05? d. Determine a 90% Confidence Interval for Policy A's mean sales e. Is there a difference between the two policies A & C? which pricing policy should you choose? f. Are the geographical location & the sales volume class significant, based on a=0.05? g. Fill in the blanks in the ANOVA table (grey cells) and confirm or dispute the results from parts "c"&"1" 1 Source S G ERROR TOTAL SS MSFV. 41.65 226.3 8.968 295,1 A company is testing the impact of 4 different pricing policies "P":(A, B, C&D) and four different sales volumes classes "S":(1, 2, 3 &4) on sales in different Geographical locations "G". The table shows the sales (in $1000) with the pricing policy showing appopriately North East East Midwest South East S P $ P $ P 1 A 19.2 15.4 6.6 D 10.5 2 B C 5.3 D 8.2 16.8 f 3 4.2 D 9.4 A 14.6 B 8.5 4 D 8.4 13.3 B 7.6 6.2 Requirements: a. What would be the objective of the response in this case? How many factors, levels & replicates in this case b. Using an L16 Orthogonal Array, set up an appropriate TCS c. Is there a difference in pricing policies in terms of mean sales, based on a=0.05? d. Determine a 90% Confidence Interval for Policy A's mean sales e. Is there a difference between the two policies A & C? which pricing policy should you choose? f. Are the geographical location & the sales volume class significant, based on a=0.05? g. Fill in the blanks in the ANOVA table (grey cells) and confirm or dispute the results from parts "c"&"1" 1 Source S G ERROR TOTAL SS MSFV. 41.65 226.3 8.968 295,1