A random sample of 20 nominally measured 2mm diameter steel ball bearings is taken and the diameters are measured precisely. The measurements, in mm, are as follows: 2.02 1.94 2.09 1.95 1.98 2.00 2.03 2.04 2.08 2.07 1.99 1.96 1.99 1.95 1.99 1.99 2.03 2.05 2.01 2.03 Assuming that the diameters are normally distributed with unknown mean, p, and unknown variance o?. find a 95% confidence interval for the variance, o² find a 95% confidence interval for the standard deviation, o.

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