1. In a completely randomized design, 10 experimental units were used for the first treatment, 12 for the second treatment, and 19 for the third treatment. Sum of Squares due to Treatments and Sum of Squares Total is computed as 1100 and 1700 respectively. Prepare the ANOVA table and complete the same (fill out all the cells). State the Hypotheses. At a .05 level of significance, is there a significant difference between the treatments? Use both p-Value and Critical-Value approaches. 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, 27 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 9 workers. The number of units assembled correctly was recorded, and the ANOVA was performed on the resulting data set. The following results were obtained: SST = 10,400; SSTR = 4,700. State the Hypotheses. a. Prepare the ANOVA table and fill out all the cells. b. Use = .01 to test for any significant difference in the means for the three assembly methods. Use both pValue and Critical-Value approaches. 3. To study the effect of temperature on yield in a chemical process, four batches were produced at each of three temperature levels. The results follow. Construct an analysis of variance table. State the Hypotheses. Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process. Use both p-Value and Critical-Value approaches. 4. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). State the Hypotheses. a. Use = .10 to test for significant differences in perception among the three groups. Use both p-Value and Critical-Value approaches. b. Can we conclude that there are differences in the perceptions for marketing managers, marketing research specialists, and advertising specialists. Are the conclusions any different between p-Value and Critical-Value approaches? c. Use Fisher's LSD approach to determine where the differences occur if they do. 5. A study reported in the Journal of the American Medical Association investigated the cardiac demands of heavy snow shoveling. Eight healthy men underwent exercise testing with a treadmill and a cycle ergometer modified for arm cranking. The men then cleared two tracts of heavy, wet snow by using a lightweight plastic snow shovel and an electric snow thrower. Each subject's heart rate, blood pressure, oxygen uptake, and perceived exertion during snow removal were compared with the values obtained during treadmill and arm- crank ergometer testing. Suppose the following table gives the heart rates in beats per minute for each of the eight subjects. At the .05 level of significance, test for any significant differences. Use both p-Value and Critical-Value approaches. 6. The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 350, SSA = 46, SSB = 43, SSAB = 195. Set up the ANOVA table and test for any significant main effects and any interaction effect. Use = .01. Use both p-Value and Critical-Value approaches. 7. 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 data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use = .05. Use both p-Value and Critical-Value approaches