Defect detection. we would like to determine if a meter is defective. the reading error is a n(0,0) rv if it is not defective. the error would be a n(0.5, 03) rv should it be defective. suppose that the following meter reading error data are collected in a calibration process: 0.16,-0.43, 1.25, -0.61, -2.42, 0.74,-0.72, 2.33,-0.4, 1.3, 0.04, 0.08, 0.88, -0.22, 0.55,-0.51,0.32,-0.54,-0.64, 0.54,-0.98,-0.40,0.66,-0.33,0,0.52, -0.23, 0.33,0.22,0.13,0.34,0.34, 0.66,-0.23,-0.33, 0.23, -0.12,-0.14,0.36 (a) find the sample mean and sample variance. (b) assuming 0 = 0.5 and 02 = 0.6, is it more probable that the meter is defective? (c) assuming 9 and 0, are unknown, is it more probable that the meter is defective?