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Question 4 Inspector 1 2 3 4 5 6 7 8 9 10 12 11 12 Caliper 1 0.265 0.265 0.266 0.267 0.267 0.265 0.267 0.267 0.265 0.268 0.268 0.265 Caliper 2 0.264 0.265 0.264 0.266 0.267 0.268 0.264 0.265 0.265 0.267 0.268 0.269 Difference 0.001 0 0.002 0.001 0 -0.003 0.003 0.002 0 0.001 0 -0.004 = 0.003 Difference 2 0.000001 0 0.000004 0.000001 0 0.000009 0.000009 0.000004 0 0.000001 0 0.000016 0.000045 30 Points (a) Is there a significant difference between the means of the population of measurements represented by the two samples? Use a = 0.05. (b) Construct a 95 percent confidence interval on the difference in the mean diameter measurements for the two types of calipers.