The following are measurements (in inches) on a characteristic with specification limits of 2.50?0.05 in.:
2.54
2.52
2.50
2.52
2.50
2.47
2.48
2.51
2.53
2.53
2.50
2.51
2.50
2.47
2.49
2.50
2.50
2.46
2.48
2.48
2.50
2.51
2.53
2.51
2.53
2.53
2.52
2.47
2.51
2.50
a) Create a histogram of these data;
b) Assuming that the data come from a stable process, calculate the process average and standard deviation;
c) What percentage of these measurements fall outside of the specification limits?
d) According to the empirical rule, between what two values do you expect to find about 99% of the process measurements?
e) Explain the difference between your answers to parts (c) and