For the AX-527 tire model, rubber exits the extruder at a rate equivalent to 10,000 tires...

Transcribed Image Text:

For the AX-527 tire model, rubber exits the extruder at a rate equivalent to 10,000 tires per hour. The output must therefore meet specific tolerance standards. In particular, the thickness should be 400 + 10 thou (1 thou = 0.001 inch). Susanne and her team analyzed several output samples from the extruder and determined that if its settings were right, the thickness of the output produced by the extruder, X, would follow a normal distribution with an average of 400 and a standard deviation of 4. When one of its bearings starts to deteriorate, the extruder produces sheets with an average thickness of 403, despite the setting being set at 400. This is not visible to the naked eye. In this situation, what proportion of sheets will be defective? Suppose further that the process mean had drifted to 403. If one operated with the process control limits already set at [396.2, 403.8], what would be the probability that a sample of size n = 10 would report that the process is out of control? For the AX-527 tire model, rubber exits the extruder at a rate equivalent to 10,000 tires per hour. The output must therefore meet specific tolerance standards. In particular, the thickness should be 400 + 10 thou (1 thou = 0.001 inch). Susanne and her team analyzed several output samples from the extruder and determined that if its settings were right, the thickness of the output produced by the extruder, X, would follow a normal distribution with an average of 400 and a standard deviation of 4. When one of its bearings starts to deteriorate, the extruder produces sheets with an average thickness of 403, despite the setting being set at 400. This is not visible to the naked eye. In this situation, what proportion of sheets will be defective? Suppose further that the process mean had drifted to 403. If one operated with the process control limits already set at [396.2, 403.8], what would be the probability that a sample of size n = 10 would report that the process is out of control?

Answer rating: 100% (QA)

To calculate the proportion of defective sheets in the given situation we need to find the probabili... View the full answer