These rings are Steel Corporation produces iron rings tha supposed to have a diameter of 60.1 cm. The machine that makes these rings does not produce each ring with diameter of exactly 60.1 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 60.1 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? are supplied to Gold Co.

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Author:James Kurose, Keith Ross
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Steel Corporation produces iron rings that are supplied to Gold Co. Ltd. These rings are
supposed to have a diameter of 60.1 cm. The machine that makes these rings does not
produce each ring with diameter of exactly 60.1 em. 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 60.1 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 em with a standard deviation of 0.15 cm. Based on this
sample can you conclude that the machine
ds an adjustment?
Transcribed Image Text:Steel Corporation produces iron rings that are supplied to Gold Co. Ltd. These rings are supposed to have a diameter of 60.1 cm. The machine that makes these rings does not produce each ring with diameter of exactly 60.1 em. 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 60.1 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 em with a standard deviation of 0.15 cm. Based on this sample can you conclude that the machine ds an adjustment?
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