The EPA is suspicious that a manufacturing company producing batteries is discharging mercury into a river. On 8 days a sample of the mercury content of the water downstream from the factory is made....

The EPA is suspicious that a manufacturing company producing

batteries is discharging mercury into a river. On 8 days a

sample of the mercury content of the water downstream from the

factory is made. The following data (in micrograms/liter) are

obtained.

(a) An acceptable level of mercury content is less than 2

µg/liter. Test H0: µ ~ 2 versus H1 : µ <>

normality of the observations. Let a = 0.05.

(b) Find a 95% confidence interval for µ. What can the EPA

state statistically concerning the water quality?