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They randomly assigned a group of $$500$$ children, $$7$$- $$11$$ years old, to two groups. After randomization, each child was asked to watch a cartoon in a private room, containing a large bowl of goldfish crackers. The cartoon included $$2$$ commercial breaks. The first group watched food commercials (mostly snacks), while the second group watched non-food commercials (games and entertainment products). Once the child finished watching the cartoon, the psychologists weighed the crackers bowl to measure how many grams of crackers the child ate. Then, they compared the average amount of crackers eaten by each group. What type of statistical study did the psychologists use? Choose $1$ answer: Choose $1$ answer: (Choice A) Sample study A Sample study (Choice B) Experiment B Experiment (Choice C) Observational study C Observational study The psychologists found that the mean amount of crackers eaten by the children who watched food commercials is $$10$$ grams greater than the mean amount of crackers eaten by the children who watched non-food commercials. Based on some re-randomization simulations, they concluded that the result is significant and not due to the randomization of the groups. What valid conclusions can be made from this result? Mark the most suitable choice. Choose $1$ answer: Choose $1$ answer: (Choice A) The result suggests that a $$7$$- $$11$$ year old child would eat $$10$$ grams of crackers more while watching food commercials than he would have if he watched other commercials. A The result suggests that a $$7$$- $$11$$ year old child would eat $$10$$ grams of crackers more while watching food commercials than he would have if he watched other commercials. (Choice B) The result suggests that food commercials make the people watching them eat more crackers than other types of commercials. B The result suggests that food commercials make the people watching them eat more crackers than other types of commercials. (Choice C) The result suggests a positive correlation between the number of food commercials and the amount of crackers eaten by $$7$$- $$11$$ year old children while watching them. C The result suggests a positive correlation between the number of food commercials and the amount of crackers eaten by $$7$$- $$11$$ year old children while watching them. (Choice D) The result suggests that food commercials can have an influence on the amount of crackers consumed by a $$7$$- $$11$$ year old child watching them. D The result suggests that food commercials can have an influence on the amount of crackers consumed by a $7$- $11$ year old child watching them. Related content