The LabBact laboratory, specialized in industrial applications of biotechnology, compares the production of bacterial cellulose by Gluconacetobacter xylinus in static culture, evaluating the effect of different initial fructose concentrations in the culture medium. The study was carried out in bio-reactors 750 ml cylindrical, with 200 ml of medium, containing initial concentrations of 1, 5, 10% fructose. The study was replicated four times for each initial fructose concentration. Finally, after 5 days culture, the amount of wet cellulose produced (grams per liter of culture medium) was measured. The Results obtained are shown in the following table: 1% 200 195 205 198 5% 400 390 410 405 10% 440 435 450 445 You are asked to answer the following points. 1. State the experimental hypothesis posed in this study and graphically explore the data to check if this hypothesis is reasonable. 2. Formulate the linear model necessary to address the previous problem, detailing all the parameters involved and the assumptions of modeling. 3. Find the estimates of the model parameters. 4. Detail the statistical hypothesis that is contrasted by means of the ANOVA and indicate what the conclusions are which are obtained from the ANOVA table. 5. Carry out the diagnosis of the modeling assumptions. 6. Is it relevant to consider multiple comparisons? If so, make the comparisons multiple. 7. What initial fructose concentration yields the highest cellulose production? Is this production significantly higher than the others? 8. Provides a 95% confidence interval for the mean cellulose production under the condition optimal production.