Twelve auto engine crankshafts measure: 224.120; 224.001; 224.017; 223.982; 223.989; 223. 961; 223.960; 224.089; 223.987; 223.976; 223.902; 223.980. Dimension is thought to be 224 mm and variance is unknown for manufacturing process. Is there evidence that mean dimension is not 221 mm? Suppose population is normally distributed. Use a=0.05 and critical value method.