The Golden Comet Is a Hybrid Chicken That Is Prized $\mu$

question 23

Essay

The Golden Comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. According to recent studies, the mean rate of egg production for 1-year-old Golden Comets is 5.1 eggs/week.
Sarah has 35 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. Her hens exhibit a mean egg-laying rate of 5.4 eggs/day.
Sarah wants to determine whether the mean laying rate $\mu$ for her hens is higher than the mean rate for all Golden Comets. Assume the population standard deviation to be $\sigma = 2.0 \mathrm { eggs } / \mathrm { day }$
i. State the appropriate null and alternate hypotheses.
ii. Compute the value of the test statistic.
iii. State a conclusion. Use the $\alpha = 0.05$ level of significance.

---

Definitions:

Nativist-Acquisition Hypothesis

A theory suggesting that the ability to learn language is innate, with linguistic development triggered by exposure to language.

Universal-Linguistic Theory

A theory suggesting that there are innate, universal grammar rules shared across all human languages, proposed by linguist Noam Chomsky.

Learning Theory Approach

A perspective focusing on how individuals acquire new behaviors and knowledge through interactions with the environment, emphasizing the role of reinforcement and observation.

Telegraphic Speech

A stage in early child language development characterized by two-word sentences that express essential ideas, resembling the succinctness of a telegram.