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