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The length of a bolt made by a machine parts company is a normal random variable with standard deviation σ equal to .01 mm. The lengths of four randomly selected bolts are: 20.01, 19.88, 20.00, 19.99.
(a) Compute a .95 confidence interval of the mean.
(b). Specifications require a mean length μ of 20.00 mm for the population of bolts. Do the data indicate that this specification is not being met?
(c) Given that the .95 confidence interval contains the value 20, why might it be inappropriate to conclude that the specification is being met?
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