Assume the distribution of data in Exercise 6.134 was exactly normally distributed with a mean of 0.00 and standard deviation of 0.020.

a. Find the bounds of the middle 95% of the distribution?

b. What percent of the data actually is within the interval found in part a?

c. Using z-scores, determine the percentage of estimated conformance to specification. That is, what percentage of the measurements would be expected to fall within the specification range of 0.000  0.030 unit?