The effective life of a component used in a jet-turbine aircraft engine is a randol 5000 hours and standard deviation 40 hours. The distribution of effective life is fairly close to a normal component that increases the mean life to 5030 hours and decreases the standard deviation to 30 hours. distribution. The engine manufacturer introduces an improvement into the manufacturing process for this Suppose that a random sample of ₁ = sample of n₂ = 25 components is selected from the "Improved" process. 16 components is selected from the "Old" process and a random What is the probability that difference in the two-sample means that the old and improved processes can be regarded as independent populations. s X₂-X₁ is at least 15 hours? Assume

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