Probability

Problem 2 Two different types of electrical cable insulation have recently been tested to determine the voltage level at which failures tend to occur. When specimens were subjected to an increasing voltage stress in a laboratory experiment, failures for the two types of cable insulation occurred at the following voltages: Suppose that it is known that the amount of voltage that cables having type A insulation can iju! 75'!!! 36 54 52 60 44 52 64 u 41 37 38 4a 55 51 a 46 so 44 66 7o 36 35 52 52 34 44 withstand is normally distributed with unknown mean \"A and known variance of, = 40, whereas the corresponding distribution for type B insulation is normal with unknown mean [13 and known variance 0%. = 100. Determine a 95% condence interval for [1,1 p3