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In a particular manufacturing process, the useful life of a cutting tool is linearly related to the speed at which the tool is operated. The data in the accompanying table were derived from life tests for speed? the two different brands of cutting tools currently used in the production process. For which brand would you feel more confident using the least squares line to predict useful life for a given cutting EEB Click the icon to view the data. Since the standard deviation (sfor Brand B is Type an integer or a decimal rounded to three decimal places V than the standard deviation for Brand A (s. Brand B would be apredictor for the useful life for a given cuting speed Data Table Useful Life (hours) Brand A Brand B Cutting Speed (meters per minute) 30.0 30.0 30.0 40.0 40.0 40.0 50.0 50.0 50.0 60.0 60.0 60.0 70.0 70.0 70.0 3.5 5.3 5.3 4.0 2.5 4.4 2.8 1.0 4.0 2.0 6.0 6.5 5.0 6.0 4.5 5.0 4.5 4.0 3.2 3.3 3.0 2.4 1.5 2.0 1.0 1.2 0.5 4.0

math   Statistics-And-Probability   
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2.14 2.64 1.14 2.14 0.64 1.14 0.64 0.14 0.66 0.56 0.86 1.46 2.36 1.86 2.86 4.5796 6.9696 1.2996 4.5796 0.4096 1.2996 0.4096 0.0196 0.4356 0.3136 0.7396 2.1316 5.5696 3.4596 8.1796 40.396 3.5 5.3 5.3 4 6.5 4.5 4.5 4 3.2 3.3 4 2 1.1 1.2 0.5 4 2.4 1.5 1.86667 3.48444444 Total 36.0733333 Total 57.9 Heren- 15 Here n- 15 Sample mean3.0667 n_ī Σ(z-z)2= 1.6052 Sample mean3.8600 -I -1.699 Sample S.D-s-11 Sample S.D-s-11 Since the standard deviation (S-for Brand B is Vthan the standard deviation for Brand A (s) 1.699 1.605 greate Brand B would be apredictor for the useful life for a given cutting speed worse

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