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Three apprentice carpenters (X, Y, and Z) are assigned the task of measuring the width of a doorway. Each one makes three measurements. The results in inches are X (31.5, 31.6, 31.4); Y (32.8, 32.3, 32.7); Z (31.9, 32.2, 32.1). The true width is 32.0 in. Comment on the precision and the accuracy of each carpenter’s measurements.
What is Carpenter Z’s measurements are the most accurate. Carpenter Y’s are the least accurate. Carpenter X’s are the most precise. Carpenter Y’s measurements are the least precise.