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In: Statistics and Probability

Twenty equal measurements of the moment of inertia of the cranked shaft relative to the axis...

Twenty equal measurements of the moment of inertia of the cranked shaft relative to the axis of rotation yielded the following results (in kgm2):

12.0

12.8

13.8

13.1

13.0

12.0

14.2

14.0

14.0

14.9

15.0

15.5

15.9

16.9

16.9

17.0

17.5

18.0

19.3

20.1

Find confidence intervals for the true moment value of inertia with a reliability of 0.95 and an average deviation from the average with a reliability of 0.99. Accept that the results of the measurements are distributed according to normal law.

show your work.

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