The effective life of a component used in a jet-turbine aircraft engine is a random variable with mean 5000 hours and standard deviation 40 hours. The distribution of effective life is fairly close to a normal distribution. The engine manufacturer introduces an improvement into the manufacturing process for this component that increases the mean life to 5030 hours and decreases the standard deviation to 30 hours. sample of n₂ = 25 components is selected from the "Improved" process. Suppose that a random sample of n₁ = 16 components is selected from the "Old" process and a random that the old and improved processes can be regarded as independent populations. What is the probability that difference in the two-sample means X₂X₁ is at least 15 hours? Assume

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