Four catalysts that may affect the concentration of one component in a three-component liquid mixture are being investigated. The following concentrations are obtained from a completely randomized design:
Catalyst 1: 58
Catalyst 2: 55
Catalyst 3: 55.4
Catalyst 4: 19
Identify the factor, its level, and response variable. Identify the treatments, experimental units, and randomization structures. Create an appropriate graph of the data. What does it appear to tell you? Write an appropriate statistical model with fixed effects. State clearly your null and alternative hypotheses. Perform ANOVA. What is your conclusion? You should be able to solve this question by hand with computational formula. Obtain the appropriate residual plots and comment on the plots. Check the assumptions of the model. Compute the 95% family-wise confidence intervals with the Tukey method. What conclusions can you draw? Estimate the overall mean and the treatment effects. Test if the average concentrations of Catalyst 1 and Catalyst 2 are the same using the least significant difference method. Find the 95% confidence interval of the mean response of Catalyst 1. Estimate the difference in response between Catalyst 1 and Catalyst 2. Find the 95% confidence interval.