Two machines are used for filling glass bottles with a soft-drink beverage. the filling process have known standard deviations sigma(1) = 0.010 liter and sigma(2) = 0.015 liter, respectively. a random sample of n(1) = 25 bottles from machine 1 and n(2) = 20 bottles from machine 2 results in average net contents of x-bar = 2.04 liters and x-bar = 2.07 liters. a) test the hypothesis that both machines fill to the same net contents, using alpha = 0.05. what are your conclusions? b) find the p-value for this test. c) construct a 95% confiedence interval on the difference in mean fill volume.

An insulated tank truck containing 50,000 pounds of double-distilled, deionized water at 30 °c is pumped into a closed, refrigerated storage tank maintained at 5 °c in a facility located on top of mount mitchell, north carolina (elevation 6,684 feet & average july temperature of 84 °f). a)-determine the volume of the storage tank required to hold the purified water. b)- determine the initial and final pressure differences that must be overcome by a liquid pump assuming the storage tank initially contains air at 5 °c. assume the air is slowly bled out of the storage tank during the water transfer c.) during a routine operation today, the tank is slightly ruptured by a stainless steel pipe and a water acrosol of droplets begins to spray out of the storage tank. state all assumptions and determine the internal pressure within the water droplets produced