8)- The effect of machine breakdowns on the performance of a manufacturing system was investigated using computer simulation (Industrial Engineering, August 1990). The simulation study focused on a single machine tool system with several characteristics, including a mean interarrival time of 1.25 minutes, a constant processing time of 1 minute, and a machine that breaks down 10% of the time. Aftern = 5 independent simulation runs of length 160 hours, the mean throughput per 40 hour week was sample mean = 1,908.8 parts. For a system with no breakdowns, the mean throughput for a 40 hour week will be equal to 1920 parts. Assuming the standard deviation of the 5 sample runs
8)- The effect of machine breakdowns on the performance of a manufacturing system was investigated using computer simulation (Industrial Engineering, August 1990). The simulation study focused on a single machine tool system with several characteristics, including a mean interarrival time of 1.25 minutes, a constant processing time of 1 minute, and a machine that breaks down 10% of the time. Aftern = 5 independent simulation runs of length 160 hours, the mean throughput per 40 hour week was sample mean = 1,908.8 parts. For a system with no breakdowns, the mean throughput for a 40 hour week will be equal to 1920 parts. Assuming the standard deviation of the 5 sample runs
A First Course in Probability (10th Edition)
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8) please solve it step by step.
![8)- The effect of machine breakdowns on the performance of a manufacturing system was
investigated using computer simulation (Industrial Engineering, August 1990). The simulation study
focused on a single machine tool system with several characteristics, including a mean interarrival
time of 1.25 minutes, a constant processing time of 1 minute, and a machine that breaks down 10% of
the time. Aftern = 5 independent simulation runs of length 160 hours, the mean throughput per 40
hour week was sample mean = 1,908.8 parts. For a system with no breakdowns, the mean throughput
for a 40 hour week will be equal to 1920 parts. Assuming the standard deviation of the 5 sample runs
was s = 18 parts per 40 hour week, test the hypothesis that the true mean throughput per 40 hour
week for the system is less than 1920 parts. Test using a = 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d4fd4d4-77c7-4e93-950b-25099f54e660%2F5a32ff2a-0a49-421c-8132-438d78eab01d%2Fzm2jk97d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8)- The effect of machine breakdowns on the performance of a manufacturing system was
investigated using computer simulation (Industrial Engineering, August 1990). The simulation study
focused on a single machine tool system with several characteristics, including a mean interarrival
time of 1.25 minutes, a constant processing time of 1 minute, and a machine that breaks down 10% of
the time. Aftern = 5 independent simulation runs of length 160 hours, the mean throughput per 40
hour week was sample mean = 1,908.8 parts. For a system with no breakdowns, the mean throughput
for a 40 hour week will be equal to 1920 parts. Assuming the standard deviation of the 5 sample runs
was s = 18 parts per 40 hour week, test the hypothesis that the true mean throughput per 40 hour
week for the system is less than 1920 parts. Test using a = 0.05.
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