3. This dataset contains information from a sample of adults who were enrolled in an exercise program At the beginning of the program, each participant was asked to self-report their weight (in kg) and height (in cm), found in the repwt and repht variables, respectively. Researchers then measured and recorded everyone's actual weight and height. a. You want to know if people are able to accurately report their height. Which statistical test is appropriate to test if self-reported height differs from actual height? Be specific. (1 pt) b. Create a new variable within the data frame equal to actual height minus self- reported height. Make a histogram of that new variable. What do you see that violates the relevant assumptions of this test? (2pt) c. Suppose you investigated that record, determined it was a data entry mistake, and decided to remove that participant's sample record from your analysis. Run the full statistical test on the remaining records. Be sure to re-check your assumptions, state appropriate hypotheses, and write a full conclusion in context. (5pt)