Mathematics Homework Help

14. Eggs The ISA Babcock Company supplies poultry farmers with hens, advertising that a mature B300 Layer produces eggs with a mean weight of 60.7 grams. Suppose that egg weights follow a Normal model with standard deviation 3.1 grams.

• a) What fraction of the eggs produced by these hens weigh more than 62 grams?

• b) What’s the probability that a dozen randomly selected eggs average more than 62 grams?

16. Enough eggs? One of the important issues for poultry farmers is the production rate—the percentage of days on which a given hen actually lays an egg. Ideally, that would be 100% (an egg every day), but realistically, hens tend to lay eggs on about 3 of every 4 days. ISA Babcock wants to advertise the production rate for the B300 Layer (see Exercise 14) as a 95% confidence interval with a margin of error of ± 2 % .  How many hens must they collect data on?