1.Historical records show that the average per capitaconsumption of eggs in the US is 278 (this is per year). Lately,consumers have been getting conflicting advice about the benefitsand dangers of eggs, and a rural agricultural association wants toknow if the average egg consumption has changed. A sample of 50adults yielded a sample mean egg consumption of 287 eggs and asample standard deviation of 28 eggs. Construct a null andalternate hypothesis that the association can use to answer theirquestion. Based on the sample data and a 5% level of significance,what can they conclude?
2. In 2010, the average weight of cell phone batteries was 110grams. Battery technology has continued to improve and a consumergroup wants to know if the average weight of cell phone batterieshas reduced. A sample of 49 cell phone batteries yielded a samplemean of 108 grams. Historical data shows that the populationstandard deviation is 10 grams. At the 5% level ofsignificance, can the consumer group conclude that batteries havebecome lighter? Would your answer change at a 1% level ofsignificance? Justify.
