Question 3
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 |
2 |
3 |
4 |
58.2 |
56.3 |
50.1 |
52 |
57.7 |
54.5 |
54.2 |
49.9 |
58.4 |
57.0 |
55.4 |
50 |
55.8 |
55.3 |
51.7 |
|
54.9 |
(a) Identify the factor, its level and response variable.
(b) Identify the treatments, experimental units, and randomization structures.
(c) Create an appropriate graph of the data. What does it appear to tell you?
(d) Write an appropriate statistical model with fixed effects.
(e) State clearly your null and alternative hypothesis. Perform ANOVA. What is your conclusion? You should be able to solve this question by hand with computational formula.
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