In: Statistics and Probability
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.