9. Using the sarme control limits calculated in question #5, is sample mean fall
ID: 358263 • Letter: 9
Question
9. Using the sarme control limits calculated in question #5, is sample mean falls within the mean control chart, but the range of 53 exceeds the range control chart UCL) Chapter 10-Quality Control I Sample Mean and Range Charts e process still in control? [No, the An electric company produces incandescent light bulbs. The following data on the number of lumens for 40-watt bulbs were collected when the process was in control: Number of Observations Sample Chapter 10- Quality Control | Sample Proportion 604 597 581 620 590 588 607 585 595 608 600 603 592 538 604 601 Given the following process control data for a quality attribute, where each sample includes 400 each 605 Sample Defects 36 1. What is the mean (X) for each sample? 03 52 a. Sample 1? (601] b. Sample 27 [602] C. Sample 3? [582] d. Sample 4 (602) e. Sample 5 1604] 1. What is the sample proportion of defective units: a. Sample #1? [.091 b. Sample #2? [.08] c. Sample W3?.13 2. What is the range (R) for each sample? 2. If the entire process's proportion of defectives is unknown, what is the estimate of it? Hint: solve for p 1.10) a. Sample 1? [24] b. Sample 2? [10] c. Sample 37 [22] d. Sample 4? (32] e. Sample 5 (24] 3. What is the estimated standard deviation of the process proportion of defectives? [.015 4. what are the two sigma upper and lower control limits? [UCL = .13 LCL,071 5. Using the two sigma control limits calculated in question #4. do any of the samples above what is the grand mean (2)?598.21 4. What is the average range (R122.4) 5. What are the three sigma control limits for: suggest that the process if out of control? [no, they all fall with in p-chart control limits) 6. If the entire process is known to produce 11 percent defectives, what is the standard deviation of the process proportion of defectives? [.0156 614.552 and LC Mean control chart when standard deviation is unknown? [UC 581.848 a. 7. f the entire process is known to produce 11 percent defectives, what are the three sigma upper b. Range control chart? UCL 51.072 and LCL 0] and lower control limits? IUCL .1568 LCL = .0632] 6. Based on the mean control chart and the sample means identified in question 1, is the process B. Using three sigma control Emits is the process in or out of control? [Yes, all sample proportions in or out of control? (yes, values for 1a-1e all fall within the mean control limit boundaties] of defective units still fall within the new calculated UCL and LCL from question # 7, Based on the range control chart and the range values identified in question #2. is the process in our out of control? lyes, values for 2a-2e all fall within the range control limit boundaries) 8. Since these data were collected, some new employees were hired and a new sample was taken. The observations were 570, 603, 623, and 583. What are the mean (x) and range (RI for this sample? [sample mean = S94.75; sample ranges 531Explanation / Answer
Answer: 1
The mean for each sample is the average of value of number of observations of individual samples.
Mean = sum of values of each observations/ number of observations
Answer: 2
The range for each sample is the difference in the smallest value and largest value of the observations for the given individual samples.
Range = Maximum value – Minimum value of the sample observations.
Answer 3 :
Grand mean = sum of means / number of means
Grand Mean = (601+ 602+582+602+604) / 5
Grand Mean = 2991 / 5
Grand Mean =598.2
Answer 4:
Average Range = Average of the ranges for individual samples
Average range = 24+10+22+32+24 /5
Average range = 112/5
Average range = 22.5
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.