To avoid any high-speed imbalance in a rotating shaft, it needs to have a variance of its diameter below The shaft diameter has been measured at 10 equally distributed locations, with a standard...

To avoid any high-speed imbalance in a rotating shaft, it needs to have a variance of its diameter below The shaft diameter has been measured at 10 equally distributed locations, with a standard deviation of 0.01 mm.

 (a) Determine the confidence interval on the variance of the diameter along the shaft with a 95% confidence level.

 (b) With a confidence level of 95%, is this shaft acceptable to the customer? (That is, is the variance in diameter along the shaft below )

 (c) Answer the questions in Parts (a) and (b) if five measurements are done and the same standard deviation is calculated.