Imagine you are a researcher who wants to know whether Drug A is effective in reducing blood glucose levels (mg/dL). The participants are randomly assigned to one of two groups: Drug A condition or Placebo condition. Blood glucose is a continuous variable.

a) Choose an appropriate statistical test for analyzing the data based on the study design and the variables used (e.g., the t-test, the ANOVA, the chi-square test). Give a brief explanation of why this test is appropriate. Why did you choose it over the other options?

b) Identify the null hypothesis and alternative hypothesis.

c) What are the assumptions for the test you have chosen? Give a brief explanation of each assumption