Question

The pull strength of a wire-bonded lead for an integrated circuit is monitored. The following table provides data for 20 samples each of size 3. a. What are the values of n and m? b. What are the values for x-bar, r-bar, and s-bar? c. Determine the control limits (UCL, CL, and LCL) for x-bar and R charts. (Note: There should be 2 sets of control limits, 1 for the x-bar chart and 1 for the R chart.) d. Determine the control limits (UCL, CL, and LCL) for x-bar and S charts. (Note: There should be 2 sets of control limits, 1 for the x-bar chart and 1 for the S chart.) e. Use the control limits from part (c) to determine if there are any out-of-control points. If there are, which points are they?

Answer 1

The question involves calculating quality control chart statistics and control limits, but cannot be answered without the specified data. Normally, n is the sample size, m is the number of samples, and control limits are calculated using the averages and standard deviations of the samples.

Step-by-step explanation:

The student's question seems to pertain to a quality control exercise using statistical process control (SPC) charts, specifically the χ-bar and R chart for monitoring the process mean and range, as well as the χ-bar and S chart for the process mean and standard deviation. However, the provided data required to accurately complete this question are missing. Thus, it is impossible to calculate specific values for χ-bar, R-bar, and S-bar, as well as the control limits for the respective charts. Normally, χ-bar is the average of the sample means, R-bar is the average range, and S-bar is the average standard deviation; n represents the sample size while m represents the number of samples. The control limits are calculated using these statistics and specific factors from established SPC tables.