wa hypothetical study of the rate of hyphal growth of fungal colonies, researchers subjected 10 fungal colonies varying levels of nitrogen to determine how quickly they grew. They grew each colony under both high and low trogen conditions. and measured how much each colony grew during the treatment in mmday (the order of the treatments was randomized for each colony at the start of the study). The plot below shows their results, poting both absolute growth roles and the natural log of growth rates for each treatment Lines connect data from the same colony the description of the study and the graphs below, what comparison would you suggest to be most consistent with the assumptions of the regression model? The researchers are trying to decide what comparisons to make. Based on 1 Select one Unpaired best on untransformed growth rates (of 10) Paired test on log-transformed growth rates(9) Paired test on untransformed growth rales (9) d. Unpaired test on log-transturmed growth rates (19) imagine you are testing a new drug that can help people sleep, and want to have as precise an estimate as possible of the mean difference in hours slept between people who took the drug versus those who were on the placebo. You have the budget to recrut 90 patients for the trial. Which of the following would be the best allocation of patents in the beo treatments Select one Randomly decide the number of patients to give each treatment using a binomial distribution 145 patients given the drug 45 given the placebo c30 patients given the drug. 60 given the placebo 460 patients given the drug. 20 given the placebo e Allow patients to be select into which of the two saiments they would prefer You are planning an expenment to estimate how the average length of time that a bacterial colony can survive changes with the dosage of antibiotics they are treated with, and only have the resources to lest 30 colonies. Which of the following methods would give you the most precise estimate of the change in survival time with dosage, assuming that all the assumptions of linear regression are met? Remember that the standard or for a regression slope in " Select one Give 15 colores a dosage of 0 mg and 15 a dosage of 200 mg Give all 30 colonies a dosage of 200 mg where is the residusts and is the predictorvanable Give each colony a different dosage with dosages spread evenly between 0 mg and 200 mg d Give 15 colonies a dosage of 50 mg and 15 a dosage of 100 mg