The machine to produce metal wire has been set so that the average length of the produced metal wire is 800 cm with standard deviation of 15 cm. A new regulation states that any produced metal wire found to be shorter than 785 cm will be discarded. To reduce the percentage of discarded products, there are two suggestions for the adjustment of the machine: Method I: Adjust the new mean to 806 cm and the standard deviation is unchanged, OR Method II: The mean is unchanged and adjust the new standard deviation to 10 cm. (a) Calculate the percentage of discarded products if Method I adjustment is used. (b) Calculate the percentage of discarded products if Method II adjustment is used. (c) To obtain a lower percentage of discarded products, should Method I or Method II be used? Justify your suggestion by your answers in part (a) and part (b).

The machine to produce metal wire has been set so that the average length of the produced metal wire is 800 cm with standard deviation of 15 cm. A new regulation states that any produced metal wire found to be shorter than 785 cm will be discarded. To reduce the percentage of discarded products, there are two suggestions for the adjustment of the machine: Method I: Adjust the new mean to 806 cm and the standard deviation is unchanged, OR Method II: The mean is unchanged and adjust the new standard deviation to 10 cm. (a) Calculate the percentage of discarded products if Method I adjustment is used. (b) Calculate the percentage of discarded products if Method II adjustment is used. (c) To obtain a lower percentage of discarded products, should Method I or Method II be used? Justify your suggestion by your answers in part (a) and part (b).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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