1.A large government building has received a telephone callthreatening that an explosive device has been placed somewhere inthe building. The bomb squad has been called to check out thethreat and they have ordered all occupants to leave the building.The bomb squad will check out the building and declare whether ornot it is safe to renter. (a) State the null and alternatehypothesis that is facing the bomb squad. (b) state the type-I andtype-II error in this situation (c) which error is more serioushere and why?
2. A manufacturer of drinking water filters claims that theircartridge last more than 300 liters before they have to bereplaced. A consumer group wants to confirm this claim and selectsa random sample of 60 cartridges for testing. The cartridgesproduce a sample average lifetime of 312 liters, and a samplestandard deviation of 50 liters. Construct a null and alternatehypothesis that the consumer group should use to confirm themanufacturer’s claim. Based on the sample data, what can the groupconclude? Use a 5% level of significance. Would your answer changeif you used a 1% level of significance? Justify
