Discuss the below:
Experience raising New Jersey Red chickens revealed the average weight of the chickens at age 5 months to be 4.35 lbs. The weights are normally distributed.
In an effort to increase their weight, a special additive was mixed with the chicken feed. The subsequent weights of a sample of five-month-old chickens were (in pounds): 4.41, 4.37, 4.33, 4.35, 4.30. Level of significance = 0.01.
1. Has the special additive increased the weight of the chickens?
2. State the hypothesis to be tested, the decision rule, the test statistic and the decision.
3. Estimate the p-value
4. In the context of your hypothesis, write out in words what making a type I error would mean.