The effective life of a component used in jet-turbine aircraft engines is a normal-distributed random variable with parameters shown (old). The engine manufacturer introduces an Old (1) New (2) 5,000 5,050 mu = sigma = n = 40 30 16 25 improvement into the manufacturing process for this component that changes the parameters as shown (new). Random samples are selected from the "old" process and “new" process as shown. What is the probability the difference in the two sample means (new – old) is at least 25 hours?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Example 7-3: Aircraft Engine Life
The effective life of a component
used in jet-turbine aircraft
engines is a normal-distributed
random variable with parameters
shown (old). The engine
manufacturer introduces an
Old (1) New (2)
mu = 5,000 5,050
sigma =
n =
40
30
16
25
improvement into the
manufacturing process for this
component that changes the
parameters as shown (new).
Random samples are selected from
the "old" process and "new"
process as shown.
What is the probability the
difference in the two sample
means (new – old) is at least 25
hours?
Transcribed Image Text:Example 7-3: Aircraft Engine Life The effective life of a component used in jet-turbine aircraft engines is a normal-distributed random variable with parameters shown (old). The engine manufacturer introduces an Old (1) New (2) mu = 5,000 5,050 sigma = n = 40 30 16 25 improvement into the manufacturing process for this component that changes the parameters as shown (new). Random samples are selected from the "old" process and "new" process as shown. What is the probability the difference in the two sample means (new – old) is at least 25 hours?
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