Applied Statistics and Probability for Engineers 6th Edition solutions

Applied Statistics and Probability for Engineers 6
Problem 59E An X chart uses samples of size 1. The center line is at 100, and the upper and lower 3-sigma limits are at 112 and 88, respectively. (a) What is the process ? ? (b) Suppose that the process mean shifts to 96. Find the probability that this shift is detected on the next sample. (c) Find t

Applied Statistics and Probability for Engineers 6
An \(\bar{X}\) chart uses samples of size 4. The center line is at 100, and the upper and lower 3-sigma control limits are at 106 and 94, respectively. (a) What is the process ?? (b) Suppose that the process mean shifts to 96. Find the probability that this shift is detected on the next sample. (c)

Applied Statistics and Probability for Engineers 6
Consider the \(\bar{X}\) control chart in Fig. 15-3. Suppose that the mean shifts to 74.010 millimeters. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift? Equation Transcription: Text Transcription: \bar X

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with \(\bar{r}=0.344\), UCL = 14.708, LCL = 14.312, and n = 5. Suppose that the mean shifts to 14.6. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift?

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with \(\bar{r}=34.286\), UCL = 242.780, LCL = 203.220, and n = 5. Suppose that the mean shifts to 210. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift?

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with \(\hat{\sigma}=1.40, U C L =21.71, L C L=18.29\), and n=6. Suppose that the mean shifts to 17. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift?

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with \(\sigma=2.466, U C L=37.404, L C L=30.780, \text { and } n=5\). Suppose that the mean shifts to 36. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift? Equation Transcription:

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with \(\bar{r}=2.25, U C L=17.40, L C L=12.79\), and \(n=3\).Suppose that the mean shifts to 13. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift? Equation Transcription:

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with \(\bar{r}=0.000924\), \(U C L=0.0635, L C L=0.0624\), and n=5. Suppose that the mean shifts to 0.0625. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift?

Applied Statistics and Probability for Engineers 6
Consider the revised \(\bar{X}\) control chart in Exercise 15-8 with \(\hat{\sigma}=0.669, U C L=7.443, L C L=5.125\), and n=3. Suppose that the mean shifts to 5.5. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift?

Applied Statistics and Probability for Engineers 6
An \(\bar{X}\) chart uses a sample of size 3. The center line is at 200, and the upper and lower 3-sigma control limits are at 212 and 188, respectively. (a) Estimate the process ?. (b) Suppose that the process mean shifts to 195. Determine the probability that this shift is detected on the next sam

Applied Statistics and Probability for Engineers 6
Consider an \(\bar{X}\) control chart with UCL = 24.802, LCL = 23.792, and n = 3. Suppose that the mean shifts to 24.2. (a) What is the probability that this shift is detected on the next sample? (b) What is the ARL after the shift?

Applied Statistics and Probability for Engineers 6
Consider a P-chart with subgroup size n = 50 and center line at 0.12. (a) Calculate the LCL and UCL. (b) Suppose that the true proportion defective changes from 0.12 to 0.18. What is the ARL after the shift? Assume that the sample proportions are approximately normally distributed. (c)

Applied Statistics and Probability for Engineers 6
Consider the \(U\) chart for printed circuit boards in Example 15-5. The center line \(=1.6\), \(U C L=33\) . , and \(n=5\). (a) Calculate the \(L C L\) and \(U C L\). (b) Suppose that the true mean defects per unit shifts from 1.6 to 2.4. What is the ARL after the shift? Assume that the aver