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10.21 In industrial settings, alternative methods often exist for measuring variables of interest. The data in the file Measurement (coded to maintain confidentiality) represent measurements in-line that were collected from an analyzer during the production process and from an analytical lab (extracted from M. Leitnaker, “Comparing Measurement Processes: In-line Versus Analytical Measurements,” Quality Engineering, 13, 2000–2001, pp. 293–298). a. At the 0.05 level of significance, is there evidence of a difference in the mean measurements in-line and from an analytical lab? b. What assumption is necessary about the population distribution in order to perform this test? MEASUREMENT Sample In-Line Analytical lab 1 8.01 8.01 2 7.56 7.29 3 7.47 7.54 4 7.4 7.42 5 7.83 7.8 6 7.5 7.65 7 6.86 6.93 8 7.31 7.46 9 7.45 7.6 10 7.23 7.4 11 7.37 7.5 12 7.49 7.41 13 6.21 6.25 14 6.68 6.54 15 5.12 5.2 16 4.84 4.7 17 4.84 4.82 18 5.21 5.33 19 5.35 5.3 20 5.6 5.4 21 5.32 5.39 22 5.16 5.17 23 5.66 5.5 24 6.31 6.24