The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its effectiveness. records indicate that the mean shelf life of a 5-gallon jug of chlorine is 2,160 hours (90 days). as an experiment, holdlonger was added to the chlorine to find whetehr it would increase the shelf life. a sample of nine jugs of chlorine had hese shelf lives (in hours):

2159, 2170, 2180, 2179, 2160, 2167, 2171, 2181, 2185

at the .025 level, has holdlonger increased the shelf life of the chlorine? (estimate the p-value). show your detailed work.