uestion Q2. Borneo Steel Corporation produces iron rings that are supplied to ARAAB 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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Q2. Borneo Steel Corporation produces iron rings that are supplied to ARAAB 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:uestion Q2. Borneo Steel Corporation produces iron rings that are supplied to ARAAB 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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