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LATIN - SUARE DESIGN 1. To ascertain the stability of vitamin C in reconstituted frozen orange juice concentrate stored In a refrigerator for period of up to one week, the study Vitamin C retention in Reconstituted Frozen Orange Juice. Three types of frozen orange Juice ooncentrate were tested using 3 different time periods. The time periods refer to the number of days from when the orange juice was blended until It was tested. The results, In milligrams of ascorbic acid per liter, were recorded. To test the hypothesis as follows: Ho: There is no difference in ascorbic acid contents among the different brands of orangejuice concentrate, Ho: there Is no difference in ascorbic acid contents for the different time periods, H0: The brands of orange juice concentrate and the number of days from the tie the juice was blended until it was tested do not Interact. Brand 1-1- "can "an mammaln 2. A manufacturer of Latex paint (brand A} would like to show that Its paint is more robust to the material being painted that of its two closest competitors. Th response is the time, in years, until chipping occurs. The study Involves the three brands of paints and there randomly chosen materials. Test for the Interaction between the brands and the materials used W __E- mm. _m 3. In an experiment conducted to determine which of 5 different missile systems is preferable. five different propellant types were used. The data after coding are given in the table. Test the following: Ho: there is no difference in the mean propellant burning rates when different missile systems are used. Ho: There is no difference in the mean propellant burning rates of the 5 types propellants types. Ho: there is no interaction between the different missile systems and the different propellant types. The Rocket Propellant Problem: Latin - Square Design PROPELLANT MISSILE 1 2 3 4 5 1 A = 24 B = 20 C = 19 D = 24 E = 24 2 B = 17 C = 24 D = 30 E = 27 A = 36 W C = 18 D = 38 E = 26 A = 27 B = 21 4 D = 26 E = 31 A = 26 B = 23 C = 22 5 E = 22 A = 30 B = 20 C = 29 D = 31 4. An electrical engineer is investigating a plasma etching process used in semiconductor manufacturing. It is of interest to study the effects of two factors, the C26 gas flow rate (A) and the power applied to the cathode (B). The response is the etch rate. Each factor is run at 3 levels. The setup is that of a completely randomized design. The data are given in table. Show that there is a significant difference in mean etch rate based on the level of power to the cathode. Power Supplied C2F6 Flow rate 1 2 3 1 A = 288 B = 488 C = 670 2 B = 385 C = 482 A = 720 3 C = 462 A = 612 B = 801