Please show procedure
Problem 3 (20 points) : 3.1 An article in Journal of Chemical Technology and Biotechnology ['A Study of Antifungal Antibiotic Production by Thermomonospora sp MTCC 3340 Using Fu Factorial Design" (2003, Vol. 78, pp. 605-610)] considered the effects of several factors on antifungal activities. The antifungal yield was expressed as Nystatin nternational units per cms. Each treatment combination was replicated three times. The results from carbon source concentration (glucose) and incubation temperature factors follow. Temperature (C) Carbon (%) 25 30 37 2 25.84 51.86 32.59 51.86 131.33 41.11 41.11 104.11 32.59 5 20.48 25.84 12.87 41.11 104.11 32.59 32.59 82.53 25.84 20.48 25.84 10.2 65.42 82.53 51.86 51.86 65.42 41.11 What are the hypotheses of interest? Test them at a = 0.05 and find the p-values for temperature, carbon, and the interaction with ANOVA in R. Enter your answers to 3 decimal places . 2.5 Points p-value carbon: LATEX ? You have used 0 of 3 attempts Submit 2.5 Points p-value temperature: RE LATEX ? You have used 0 of 3 attempts Submit 2.5 Points p-value interaction: LATEX ? You have used 0 of 3 attempts Submit 3.2 Based on your calculations in the previous part, which factors affect antifungal activities? 2.5 Points Only carbon has an effect. Carbon, temperature, and the interaction all affect the outcome. Only temperature has an effect. Carbon and temperature have effects, but there is no interaction effect. You have used 0 of 1 attempt Submit 3.3 Using Fisher's LSD method, compare the means of antifungal activity for the different carbon source concentrations. Use a = 0.05. What is the standard error of the difference between two mean? Enter your answer to 3 decimal places. 2.5 Points BE LATEX ? You have used 0 of 3 attempts Submit 3.4 What is the value of LSD? 2.5 Points BE LATEX You have used 0 of 3 attempts Submit 3.5 What is the largest difference in means? Is this difference significant? 2.5 Points FREE LATEX You have used 0 of 3 attempts Submit 2.5 Points O No, there are no significant differences revealed with this test. Yes, this implies that there is a significant difference. You have used 0 of 1 attempt Submit