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Question 1: A mechanical engineer analyzing the runtime of oil pumps (measured in years) tracks the time until a pump fails and is pulled out

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Question 1: A mechanical engineer analyzing the runtime of oil pumps (measured in years) tracks the time until a pump fails and is pulled out of ground for repair or replacement. A random sample of runtimes are provided below: 1.2 1.6 4.9 5.7 5.9 6.3 6.5 6.8 6.8 6.8 7.1 10.3 11.0 a) Identify the experimental unit. [2 pts] b) Identify the variable of interest. [2 pts] c) Identify the type of variable (circle one). [1 pt] qualitative discrete continuous d) What is the mean runtime for the oil pumps in this sample? [4 pts] e) What is the value of the upper quartile for this sample? Be sure to support your work by including the calculation for the position of the upper quartile. [8 pts] t) Calculate the trimmed mean by eliminating the two smallest and two largest runtimes (which appear to be somewhat different than the remaining observations). Identify the corresponding trimming percentage. [8 pts]

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