In: Math
An industrial plant discharges water into a river. An environmental protection agency has studied the discharged water and found the lead concentration in the water (in micrograms per litre) has a normal distribution with population standard deviation σ = 0.7 μg/l. The industrial plant claims that the mean value of the lead concentration is 2.0 μg/l. However, the environmental protection agency took 10 water samples and found that the mean is 2.56 μg/l. A hypothesis test is carried out to determine whether the lead concentration population mean is higher than the industrial plant claims. (Use 1% level of significance). An appropriate test for this one population hypothesis problem is to use the _______.
H0: The lead concentration population mean is not higher than the industrial plant
H1: The lead concentration population mean is higher than the industrial plant
Thus we conclude that the lead concentration population mean is higher than the industrial plant