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. 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

Answer 1

H0: ρ= 0 against Ha : ρ≠0

Explanation:

The null hypothesis would be the weight gains of a sample of lambs on regular feed is equal to the weight gains of the sample that receives an additional niacin supplement against the claim that the weight gains are not equal .

H0: ρ= 0 against Ha : ρ≠0

Type 1 Error would be when the H0 is true and there's no difference but H0is rejected or Ha is accepted that there is difference in the weight gains.

Type 2 Error would be when the Ha is true and there is difference but Ha is rejected or H0 is accepted that there's no difference in the weight gains.

The appropriate conclusion would be Ha is accepted and H0 is rejected fail to reject.

A confounding variable is the one which effects the results . It is the biased variable which should be identified and ignored.

For example in this experiment the independent variable would be the amount of the supplement the dependent would the weight gain but the gender of the sheep is the confounding variable. It is not directly related to amount of supplement .

1) gender of sheep

2) the breed of sheep

3) the number of sheep

4) the height of sheep