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Mathematics, 28.10.2020 17:00 2023brewerantonio

A farmer wants to increase the weight of her lambs and is considering supplementing their diets with niacin, which is advertised as an effective weight gain supplement. To add niacin to their diets, the farmer would need to purchase a supply, which is fairly expensive. But if it does actually increase the weights of her lambs, it will lead to higher sales for her farm over time. So she conducts an experiment where she compares the weight gains of a sample of lambs on regular feed to a sample that receives an additional niacin supplement. a. Write an appropriate null and alternative hypothesis for her experiment. (1pt) b. In the famer’s perspective, explain the consequence of a Type-I error. (1pt) c. In the famer’s perspective, explain the consequence of a Type-II error. (1pt) d. Suppose the farmer analyzed her experimental data and got a p-value of 0.15. What would be the appropriate conclusion? (2pt) e. List a potential confounding variable for this study

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