A farmer wants to increase the weight of her lambs and is considering supplement
ID: 3306127 • Letter: A
Question
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.
Write an appropriate null and alternative hypothesis for her experiment. (2pt)
In the famer’s perspective, explain the consequence of a Type-I error. (1pt)
In the famer’s perspective, explain the consequence of a Type-II error. (1pt)
Suppose the farmer analyzed her experimental data and got a p-value of 0.03. What would be the appropriate conclusion? (2pt)
Explanation / Answer
Answer:
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.
Write an appropriate null and alternative hypothesis for her experiment. (2pt)
Ho: There is no weight gain.
Ho: There is a weight gain.
In the famer’s perspective, explain the consequence of a Type-I error. (1pt)
Actually there is no weight gain but she conclude that there is weight gain.
In the famer’s perspective, explain the consequence of a Type-II error. (1pt)
Actually there is a weight gain but she conclude that there is no weight gain.
Suppose the farmer analyzed her experimental data and got a p-value of 0.03. What would be the appropriate conclusion? (2pt)
Reject Ho at 0.05 level and conclude that there is significant weight gain.
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