An industrial plant claims to discharge no more than1000 gallons of wastewater perhour, on theaverage, into a neighboring lake. An environmental action group decides to monitor theplant, in case this limit is being exceeded. A random sample of four hours is selected over a period of a week. The observations(gallons of wastewater discharged hour) are 1019, 1900, 2212, 2277.

a) Find the samplemean, standard deviation, and standard error?

b) To test H₀=1000 vs. H_a>1000, find the test statistic.

c) Determine theP-value and decide if there is enough evidence to reject the null hypothesis at the 0.05 significance level.