10.21 In industrial settings, alternative methods often exist for measuring variables of interest. The data in ...

     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