A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the...

A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 metres. It is known that the standard deviation in the cutting length is 0.15 metres. A sample of 144 cut sheets yield a mean length of 12.14 metres. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.

What are the two limits of the confidence interval?

min = Answer

max = Answer

Answer should be to four decimal places e.g. 1.2345 and 2.3456.

Please do NOT include any units in your answer.