To assess the accuracy of laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. The weight is weighed 40 times. The mean result is 10.230 grams. The standard deviation of the scale readings is 0.020 gram. (a) Give a 98% confidence interval for the mean of repeated measurements of the weight. Round your answers to three decimal places. (b) How many measurements must be averaged to get a margin of error of .001 with 98% confidence?