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You are attempting to determine whether there is a difference between the engines manufactured by your supplier in terms of time in days until failiure

You are attempting to determine whether there is a difference between the engines manufactured by your supplier in terms of time in days until failiure depending on which of your two mechanics is working on maintenance.

The data for the five engines and the two mechanics is presented in the table below:

A B
5 5
4 9
6 1
5 7
7 7
6 5

A) Without making any distribution assumptions, conduct a hypothesis test on whether one mechanic is better than the other using the data above. Show all your work.

B) Assuming that the differences in the data above come from approximately normal distribution conduct the same hypothesis test. Show all your work.

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