B)Use a 95% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minute, Repeat for brand B. Compare the widths of the two intervals to each other and to the two intervals you calculated in part a. Comment on the reasons for any difference.The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is to hours.(Round to one decimal place as needed.)The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute isto hours.

The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through . ER Click the icon to view the data table of cutting spee: d and useful life. &) Ciick the icon to view the table of critical values of t. a. Use a 95% confidence interval to estimate the mean u seful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two intervals and comment on the reasons for any difference. The mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute is D to j hours. (Round to one decimal place as needed.) - X Data table o | & | " Cutting Speed Useful Life (Hours) 1 1 (meters ' per minute) Brand A Brand B | 30 51 57 | 30 41 6.5 | 30 48 49 [ 40 47 55 : 40 45 4.8 40 25 50 | 50 4.4 45 | 50 28 40 | 50 1.0 37 | 60 40 38 860 20 30 60 1.1 24 ; 70 A 15 | 70 05 20 | 70 3.0 1.0