In: Statistics and Probability
Suppose that the mean PCB concentration per fish is 11.2 parts per million with a standard deviation of 2 parts per million in a river. Assume the PCB concentration per fish have a normal distribution. A new random sample of 10 fish has been tested. The PCB concentrations are listed in the following. 11.5, 12.2, 11.4, 11.8, 10.8, 10.9, 11.9, 12.0, 12.4, 11.6 Use the 5 percent level of significance, test that the mean PCB concentration in the fish has changed at 11.2 parts per million.