The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through e. H Click the icon to view the data table of cutting speed and useful life. | A Click the icon to view the table of critical values of t. a. Use a 00% confidence interval to estimate the mean 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 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 toOhours. (Round to one decimal place as needed.) Data Table The mean useful life of a brand B cutting tool when the cutting speed is 45 meters per minute is toOhours. (Round to one decimal place as needed.) Compare the widths of the two intervals and comment on the reasons for any difference. Choose the correct answer below. Cutting Speed (meters per minute) 30 30 Useful Life (Hours) O A Brand Ais wider than brand B. The value of y is different for the two intervals. OB. Brand B is wider than brand A The value of 2 is different for the two intervals. Brand A Brand B 4.1 3.5 5.7 6.1 OC. Brand A is wider than brand B. The estimated standard error of y is different for the two intervals. OD. There is no difference in the widths of the two intervals. 20 5.1 5.1 40 4.0 5.5 40 3.0 2.5 4.8 40 50 50 50 00 00 00 70 70 70 5.0 b. Use a 00% 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 inte 4.4 4.5 The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is O toO hours. (Round to one decimal place as needed.) 2.8 1.0 4.0 4.0 3.7 3.8 3.0 2.0 The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is toO hours. 1.1 2.4 (Round to one decimal place as needed.) 1.1 0.5 3.0 1.5 2.0 1.0 Compare the widths of the two intervals to each other. Choose the correct answer below. O A The prediction interval for brand Bis larger than the prediction interval for brand A because the value of y is different for the two intervals. OB. The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y is different for the two intervals. OC. The prediction intervals are the same size Print Done

The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through e. H Click the icon to view the data table of cutting speed and useful life. | A Click the icon to view the table of critical values of t. a. Use a 00% confidence interval to estimate the mean 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 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 toOhours. (Round to one decimal place as needed.) Data Table The mean useful life of a brand B cutting tool when the cutting speed is 45 meters per minute is toOhours. (Round to one decimal place as needed.) Compare the widths of the two intervals and comment on the reasons for any difference. Choose the correct answer below. Cutting Speed (meters per minute) 30 30 Useful Life (Hours) O A Brand Ais wider than brand B. The value of y is different for the two intervals. OB. Brand B is wider than brand A The value of 2 is different for the two intervals. Brand A Brand B 4.1 3.5 5.7 6.1 OC. Brand A is wider than brand B. The estimated standard error of y is different for the two intervals. OD. There is no difference in the widths of the two intervals. 20 5.1 5.1 40 4.0 5.5 40 3.0 2.5 4.8 40 50 50 50 00 00 00 70 70 70 5.0 b. Use a 00% 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 inte 4.4 4.5 The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is O toO hours. (Round to one decimal place as needed.) 2.8 1.0 4.0 4.0 3.7 3.8 3.0 2.0 The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is toO hours. 1.1 2.4 (Round to one decimal place as needed.) 1.1 0.5 3.0 1.5 2.0 1.0 Compare the widths of the two intervals to each other. Choose the correct answer below. O A The prediction interval for brand Bis larger than the prediction interval for brand A because the value of y is different for the two intervals. OB. The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y is different for the two intervals. OC. The prediction intervals are the same size Print Done

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 7E

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Transcribed Image Text:The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through c. E Click the icon to view the data table of cutting speed and useful life. E Click the icon to view the table of critical values of t. a. Use a 90% confidence interval to estimate the mean 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 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 to hours. (Round to one decimal place as needed.) The mean useful life of a brand B cutting tool when the cutting speed is 45 meters per minute is to hours. Data Table (Round to one decimal place as needed.) Compare the widths of the two intervals and comment on the reasons for any difference. Choose the correct answer below. Useful Life (Hours) Cutting Speed (meters per minute) O A Brand A is wider than brand B. The value of y is different for the two intervals. Brand A Brand B O B. Brand B is wider than brand A. The value of t/2 is different for the two intervals 30 4.1 5.7 30 3.5 6.1 OC. Brand A is wider than brand B. The estimated standard error of y is different for the two intervals. 30 5.1 5.1 40 4.9 5.5 O D. There is no difference in the widths of the two intervals. 40 3.6 4.8 40 2.5 5.0 b. Use a 90% 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 inte ference. 50 4.4 4.5 50 2.8 4.0 The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is to hours. 50 1.0 3.7 (Round to one decimal place as needed.) 60 4.0 3.8 60 2.0 3.0 to hours. The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is (Round to one decimal place as needed.) 60 1.1 2.4 70 1.1 1.5 70 0.5 2.0 Compare the widths of the two intervals to each other. Choose the correct answer below. 70 3.0 1.0 A. O A. The prediction interval for brand B is larger than the prediction interval for brand A because the value of y is different for the two intervals. O B. The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y is different for the two intervals Print Done O C. The prediction intervals are the same size.

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