The diameter of a metal rod is measured by 12 inspectors, each using both a micrometer caliper and a vernier caliper. The results are shown in Table 4E.5. Is there a difference between the mean measurements produced by the two types of caliper? Use alpha = 0.01.

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Inspector Micrometer Caliper Vernier Caliper Difference 0.15 0.151 0.151 0.152 0.151 0.15 0.151 0.153 0.152 0.151 0.151 0.151 0.151 0.15 0.151 0.15 0.151 0.151 0.153 0.155 0.154 0.151 0.15 0.152 0.001 0.001 0.000 0.002 0.000 0.001 0.002 0.002 0.002 0.000 0.001 0.001 4 10 12