Observational studies have suggested that daily intake of Vitamin E is associated with a lower risk of heart disease. Ye

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Observational studies have suggested that daily intake ofVitamin E isassociated with a lower risk of heart disease. Yet, carefullydesigned double-blind randomized experiments have shown that vitamin E has noeffect inreducing risk of heart disease.a) For each study (observational and experiment), what are theresponse andexplanatory variables and treatments? b) Outline the design of each study on a diagram c) For the observational study, identify a lurking variable thatmay explainthe association between Vitamin E intake and risk of heart disease?Explainwhy your answer satisfies the definition of a lurking variable.(Hint: Whatcan you say about people who regularly take Vitamin Esupplements?)