A process to make dental floss produces spools with a desired mean length of 91.4 m (100 yds). The historical standard deviation is 1 cm (0.01 m). If samples of size 5 are taken and measured,
a) What is the standard deviation of the sample mean?
b) How long (or short) would a sample mean have to be to fall outside the 3s limit?
c) How would the answers to parts a and b change if the sample were of size 10?