Q28:
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 5.9 eggs/week.
Sarah has 40 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
6.2eggs/ day.
Sarah wants to determine whether the mean laying rate
μ for her hens is higher tha the mean rate for all Golden Comets. Assume the population standard deviation to be
σ=1.2 eggs/day.
i. State the appropriate null and alternate hypotheses.
ii. Compute the value of the test statistic.
iii. State a conclusion. Use the
α=0.05 level of significance. rate and gentle disposition. According to recent studies, the mean rate of egg