JOHNSON STEEL INC produces iron rings that are supplied to Lit Co. Ltd. These rings are supposed to have a diameter of 60 cm. The machine that makes these rings does not produce each ring with diameter of exactly 60 cm. The diameter of each of the rings varies slightly. It is known that when the machine is working properly, the rings made on this machine have a mean diameter of 60 cm. The quality control department takes a random sample of 35 such rings every week, calculates the mean of the diameters for these rings and makes a 99% confidence interval for the population mean. If either the lower limit of this confidence interval is less than 59.938 cm or the upper limit of this confidence interval is greater than 60.063 cm, the machine is stopped and adjusted. A recent sample of 35 rings produced a mean diameter of 60.038 cm with a standard deviation of 0.15 cm. Based on this sample can you conclude that the machine needs an adjustment?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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JOHNSON STEEL INC produces iron rings that are supplied to Lit Co. Ltd. These rings are supposed to have
a diameter of 60 cm. The machine that makes these rings does not produce each ring with diameter of
exactly 60 cm. The diameter of each of the rings varies slightly. It is known that when the machine is
working properly, the rings made on this machine have a mean diameter of 60 cm. The quality control
department takes a random sample of 35 such rings every week, calculates the mean of the diameters for
these rings and makes a 99% confidence interval for the population mean. If either the lower limit of this
confidence interval is less than 59.938 cm or the upper limit of this confidence interval is greater than
60.063 cm, the machine is stopped and adjusted. A recent sample of 35 rings produced a mean diameter
of 60.038 cm with a standard deviation of 0.15 cm. Based on this sample can you conclude that the
machine needs an adjustment?
Transcribed Image Text:JOHNSON STEEL INC produces iron rings that are supplied to Lit Co. Ltd. These rings are supposed to have a diameter of 60 cm. The machine that makes these rings does not produce each ring with diameter of exactly 60 cm. The diameter of each of the rings varies slightly. It is known that when the machine is working properly, the rings made on this machine have a mean diameter of 60 cm. The quality control department takes a random sample of 35 such rings every week, calculates the mean of the diameters for these rings and makes a 99% confidence interval for the population mean. If either the lower limit of this confidence interval is less than 59.938 cm or the upper limit of this confidence interval is greater than 60.063 cm, the machine is stopped and adjusted. A recent sample of 35 rings produced a mean diameter of 60.038 cm with a standard deviation of 0.15 cm. Based on this sample can you conclude that the machine needs an adjustment?
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