1. A. The following ANOVA table is provided. PLs show all work and steps.

Source of variation Degrees of freedom Sum of squares

Between 4 200

Within 45 3547

Calculate the following values assuming that all groups have the same sample size:

1. MSBand MSW
2. Number of groups and number of samples in each group
3. F-test statistic
4. Fcritfor = 0.05. What is the conclusion?

B. Four catalysts that may affect the concentration of one component in a three-component liquid mixture are being investigated. The following concentrations are obtained.

Catalyst 1 2 3 4

58.2 56.3 50.1 52.9

57.2 54.5 54.2 49.9

58.4 57.0 55.4 50.0

55.8 55.3 51.7

54.9

Determine if the 4 catalysts yield the same concentration of the component. If they do not, then use a post-hoc multiple comparison of your choice to determine which pairs of catalysts are different. Use a significance level of = 0.05 for all your calculations. Please show all work and all steps .thanks