3. The following are the lengths of bolts, in centimeters, produced by a machine: 19.63 20.80 19.54 20.76 20.95 20.79 20.21 19.69 19.88 19.60 20.81 19.92 20.22 20.13 20.33 20.63 Assume that the measurements are approximately normally distributed. A. Find a 99% confidence interval on the mean length. B. Find a 99% prediction interval on the next bolt to be measured. C. Find a 99% tolerance interval that will contain 95% of the bolts produced by this machine.

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