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- A. Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 350 records typed by these operators has been noted, as follows: Sample No. No. Defectives Sample No. No. Defectives Sample No. No. Defectives 1 8 11 7 21 16 2 5 12 5 22 11 3 19 13 15 23 6 4 10 14 3 24 6 5 10 15 12 25 13 6 7 16 7 26 11 7 11 17 12 27 15 8 9 18 3 28 6 9 7 19 18 29 12 10 12 20 16 30 4 a) Establish 3σ upper and lower control limits. UCLp = nothing (enter your response as a number between 0 and 1, rounded to three decimal places). B. Peter Ittig's department store, Ittig Brothers, is Amherst's largest independent…Question 2: The account receivable department of R&W Company has received complaints from manycustomers about incorrect billing, i.e., the bills do not reflect the materials that arrived at their receivingdocks. The department has decided to implement statistical process control in its billing process. Randomsamples of 60 bills each were taken over 8 days and the items on the bills checked against the bill of ladingsent by the company’s shipping department to determine the number of incorrect bills. The observationis given below: Day 1 2 3 4 5 6 7 8 No. of Incorrect Bills 3 13 5 12 9 1 3 2 a. You want to develop appropriate control chart(s) to check whether the process is in control.i. Find the control limitsii. Plot the control chart(s) in excel.b. Is the process in control? Give reason for your answer.Build p-charts and c-charts
- DEFINE: Typical descriptive research measuring tools 1. Descriptive statistics 2. Frequency table (with frequency and percent) 3. Charts (pie chart, bar chart, histogram, etc.) 4. Mean interpretation table (with the scale, its range for measurement purposes, scale description, and the mean interpretation) Typical correlational and comparative research measuring tools 1. Correlations 2. t-Test (paired samples, independent samples t-test) – for independent samples t-test, the grouping variable should be two categories only. 3. Analysis of variance (ANOVA) 4. Scales reliability test (interval or ratio scaled data) 5. Factor analysis 6. Normality test 7. Multiple regression analysisWhat is the purpose of a control chart?Briefly explain the purpose of each of these control charts: d. c-chart
- a) Multi-phase sampling with practical exampleb) The data in Table 4(b) shows the number of nonconforming ties in a sample of size 500, following 100% inspection, over 20 days; Number of Day Nonconformities 1 13 10 25 4 12 12 6. 9 7 11 8. 13 9. 11 10 16 11 13 12 10 13 14 14 15 15 10 16 17 17 18 12 19 12 20 13 Table 4(b) Page 6 of 8 i. Calculate the UCL and LCL for this data ii. Plot a fraction non-conforming control chart for the data. If there are any points that plot outside of the control limits, assume assignable causes can be found and recalculate the limits. ii.11. Jars of pickles are sampled and weighed. Sample measures are plotted on control charts. The ideal weight should be precisely 11 oz. Which type of chart(s) would you recommend to monitor the process? Select one: a. p-chart b. c-chart c. both x-bar chart and R-chart d. x-bar chart, but not R-chart e. R-chart, but not x-bar chart
- 7. Compare and contrast type I error and type Il error. Give an example.Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in Table were obtained. Ounces of Caulking Per Tube Tube Number Sample 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7.98 8.33 7.89 8.24 7.87 8.13 8.34 8.22 7.77 8.18 8.13 8.14 8.02 8.08 7.91 7.83 7.92 8.11 7.94 8.51 8.04 8.05 7.99 8.13 8.44 8.41 8.00 7.90 8.10 8.14 7.68 8.28 7.89 8.16 7.81 8.12 7.81 8.09 7.93 7.97 8.14 8.13 8.11 8.16 8.09 8.07 7.88 8.14 a. Assume that only six samples are sufficient and develop the control charts for the mean and the range.b. Plot the observations on the control chart and comment on your findings.3.6. One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subse- quent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some num- ber of breaks is considered normal; however, too many breaks might mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours: Number of Number of Sample Breaks Sample Breaks 1 3 11 3 2 12 4 3 4 13 4 1 14 7 5 15 8. 16 7 17 4 18 7. 8 19 8 9. 20 6. 10 Construct a c-chart using 3ơ limits for this process and indicate if the process was out of control at any time. ohoin when orders come into 3. 6