Consolidated Power, a large electric power utility, has just built a modern nucl
ID: 3155488 • Letter: C
Question
Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste water that is allowed to flow into the Atlantic Ocean The Environmental Protection Agency (EPA) has ordered that the waste water may not be excessively warm so that thermal pollution of the marine environment near the plant can be avoided Because of this order, the waste water is allowed to cool in specially constructed ponds and is then released into the ocean This cooling system worths properly it the mean temperature of waste water discharged is 81 degreeF or cooler Consolidated Power is required to monitor the temperature of the waste water A sample of 100 temperature readings will be obtained each day. and if the sample results cast a substantial amount of doubt on the hypothesis that the cooling system is working properly (Ihe mean temperature of waste water discharged is 81degreeF or cooler) then the plant must be shut down and appropriate actions must be taken to conect the pro lem (a) Consolidated Power wishes to set up a hypothesis test so that the power plant will be shut down when the null hypothesis is rejected Set up the null and alternative hypotheses that should be used.Explanation / Answer
A)THE NULL HYPOTHESIS = H0 = U = 60
THE ALTERNATE HYPOTHESIS = HA = U >60
B) THE Z = (X - MEAN)/(STANDARD DEVIATION/SQRT(N))
= (60.934 - 60) / (5/SQRT(100)
= 1.86
THE ALPHA = 0.05
THEREFORE THE CRITICAL REGION Z > 1.96
AS THE Z TEST = 1.86 <1.96
THEREFORE WE WILL ACCEPT THE NULL HYPOTHESIS.