An electric scale gives a reading equal to the true weight plus a random error that
is normally distributed with mean 0 and standard deviation s = .1 mg. suppose
that the results of five successive weighings of the same object are as follows: 3.142,
3.163, 3.155, 3.150, 3.141.
(a) determine a 95 percent confidence interval estimate of the true weight.
(b) determine a 99 percent confidence interval estimate of the true weight.