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It is desired to characterize the precision of two instruments used to measure the density of a liquid stream in a re?nery's distillation column. Ten measurements of a calibration sample with known density 0.85 gm/cc are shown in the table below.
Instrument 1 Measurements
Instrument 2 Measurements
0.864
0.850
0.858
0.916
0.855
0.861
0.764
0.866
0.791
0.874
0.827
0.901
0.849
0.836
0.818
0.953
0.747
0.733
0.846
Consider these data as random samples from two independent normal populations; carry out an appropriate test to con?rm or refute the hypothesis that instrument 2 is less precise than instrument 1.
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