Stats 7 Summer II 2022 Discussion Quiz 1 Full name:_____________________________________ To assess the effectiveness of taking large doses of vitamin C in reducing the duration of the common cold, researchers recruited 400 healthy volunteers from staff and students at a university. The patients were randomly assigned to either receive a placebo, 1g Vitamin C, 3g Vitamin C, or 3g Vitamin C plus additives to be taken at onset of a cold for the following two days. All tablets had identical appearance and packaging. The duration of cold symptoms was recorded by rounding up to the nearest day. (a) What was the goal of this study? (b) What type of study was this? (Fill in the box to indicate your answer) Observational Experimental (c) Identify the explanatory and response variables and their variable types. Explanatory variable: Response variable: ____________________________________ Numerical continuous Numerical discrete Categorical regular Categorical ordinal ____________________________________ Numerical continuous Numerical discrete Categorical regular Categorical ordinal (d) What type of plot would be appropriate to plot the relationship between these two variables? Scatterplot Boxplot for each group Mosaic plot Pie chart for each group (e) Was there random assignment? Yes: No: (f) Was there random sampling? Yes: No: (g) Is a causal conclusion possible? Yes: No: (h) Can the study results be generalized beyond the sample participants? Yes: No: (i) Indicate the correct descriptions of the distribution visualized below. Modality: Skewness: Uniform Symmetric Unimodal Left skewed Multimodal Right skewed