14. EggsThe 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.Enougheggs?Oneoftheimportantissuesforpoultryfarmersistheproductionrate--thepercentageofdaysonwhichagivenhenactuallylaysanegg.Ideally,thatwouldbe100%(aneggeveryday),butrealistically,henstendtolayeggsonabout3ofevery4days.ISABabcockwantstoadvertisetheproductionratefortheB300Layer(seeExercise14)asa95%confidenceintervalwithamarginoferrorof2%.Howmanyhensmusttheycollectdataon?

• 24. Alcohol abuseGrowing concern about binge drinking among college students has prompted one large state university to conduct a survey to assess the size of the problem on its campus. The university plans to randomly select students and ask how many have been drunk during the past week. If the school hopes to estimate the true proportion among all its students with 90% confidence and a margin of error of4%,how many students must be surveyed?