This is one question with 3 parts.

For each case below, identify whether each of the two variables is of nominal, ordinal, or continuous (quantitative) type. State whether the study is experimental (i.e., the experiment has divided subjects into groups somehow) or observational.If experimental, identify the independent and dependent variables and note whether or not the independent variable involves random assignment.

a) Data is collected from 20 elves about both productivity (cookies made per day) and years of employment at the cookie factory.The question is whether productivity changes with years employed.

b) All subject arrive at the lab at the same time. A roll of a die is used to place each subject into either a placebo group or a new cold medicine group. If the die lands at 1,2, or 3, the subject is placed in the placebo groupOtherwise, they are placed in the cold medicine group.All are then exposed to a cold virus, sent home for 3 days to take their treatment, and then return and rate their cold symptoms on a scale: none, mild, moderate, high, severe.

c) Subjects are shown a video of a moving care running into a parked care.For half of the subjects, the title of the video is "Car hits car."The other half of subjects sees the identical video but with the title "Car smashes car." All subjects are then asked how fast the car was moving (MPH).The researcher has the hypothesis that estimated speed (in mph) will be faster for subjects who saw the "smash" title than for those who saw the "hit" title (which is in fact true).All subjects who saw the "hit" title were run in the first summer term and all who saw the "smashed" title were run in the second summer term.