Question

# A manufacturing process produces steel rods in batches of 1,700. The firm believes that the percent...

A manufacturing process produces steel rods in batches of 1,700. The firm believes that the percent of defective items generated by this process is 5.4%. a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the p⎯⎯ chart. (Round your answers to 3 decimal places.) b. An engineer inspects the next batch of 1,700 steel rods and finds that 6.5% are defective. Is the manufacturing process under control?

Solution:

We are given that: A manufacturing process produces steel rods in batches of 1,700.

The percent of defective items generated by this process =

That is:

Part a) Calculate the center line, the upper control limit (UCL), and the lower control limit (LCL) for the p⎯⎯ chart.

Center Line =

The upper control limit (UCL) is:

The lower control limit (LCL) :

Part b. An engineer inspects the next batch of 1,700 steel rods and finds that 6.5% are defective. Is the manufacturing process under control?

Yes , since 6.5% = 0.065 defective are within the control limits and .

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