1) In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 400, SSTR = 150, my = 19 . Set up the ANOVA table and test for any significant difference between the mean output levels of the three treatments. Use @ = 0.05. 2) Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting date set. The following results were obtained: SST = 10.800; SSTR = 4560. A) Set up the ANOVA table for this problem. B) Use @ = 0.05 to test for any significant difference in the means for the three assembly methods. 3) An automobile dealer conducted a test to determine if the time in minutes needed to complete : minor engine tune-up depends on whether : computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate. and full-sized cars. the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 50 42 Intermediate 55 44 Full-sized 63 46 Use @ = 0.05 to test for any significant differences. 4) A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different size advertisements were considered. The date obtained follow. Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement, or interaction. Use @ = 0.05. Size of Advertisement Small Large 12 Design 12 14 30 10 18 14 5) An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following date to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a = 0.05
