As the production manager of a continuous A4 paper production line, you sample the length of the paper at (fixed) periodic intervals. A4 paper should be 297mm long and the machines used claim a standard deviation of 2mm. You plan to take a sample of 100 sheets to test paper length.
a) What is the probability that the sample mean will be between 296.5mm and 297.5mm?
b) What type of sampling procedure has been used and is it likely to have created a biased sample? Briefly discuss.