The quality-control plan for a certain production process involves taking samples of

Chapter 10, Problem 1

(choose chapter or problem)

The quality-control plan for a certain production process involves taking samples of size 4. The results from the last 30 samples can be summarized as follows:

\(\sum_{i=1}^{30} \bar{X}_{i}=712.5 \quad \sum_{i=1}^{30} R_{i}=143.7 \quad \sum_{i=1}^{30} s_{i}=62.5\)

a. Compute the \(3\sigma\) control limits for the  chart.

b. Compute the \(3\sigma\) control limits for the  chart.

c. Using the sample ranges, compute the \(3\sigma\) control limits for the \(\bar{X}\) chart.

d. Using the sample standard deviations, compute the \(3\sigma\) control limits for the \(\bar{X}\) chart.

Equation Transcription:

Text Transcription:

sum{i=1}^30bar{X}_i=712.5   sum{i=1}^30R_i=143.7   sum{i=1}^30s_i=62.5

3{sigma}

3{sigma}

3{sigma}

bar{X}

3{sigma}

bar{X}