Question 11: A Standard Deviation Is A Points Sample

Question 11tco 11 A Standard Deviation Is A Points 2samp

Question 1. 1. TCO 11) A standard deviation is a _____. (Points : 2) sample descriptive statistic census inference statistic

Question 2. 2. The vertical line to the peak of the bell curve represents the _____. (Points : 2) point estimates random variables statistics mean

Question 3. 3. (TCO 11) The sampling method in which every item in the population has an equal probability of being selected is called which of the following? (Points : 2) Simple random sampling Stratified sampling Systematic sampling Judgment sampling

Question 4. 4. (TCO 11) Calculating the average value of five sample measurements of door width is an example of which of the following? (Points : 2) Descriptive statistics Statistical inference Predictive statistics Analytical statistics

Question 5. 5. (TCO 11) A subset of items selected from a population is called which of the following? (Points : 2) Sample Statistic Census Parameter

Question 6. 6. (TCO 12) Which of the following tools is used to identify and isolate causes of a problem? (Points : 2) Shewart diagram Scatter diagram Cause-and-effect diagram Histogram

Question 7. 7. (TCO 12) Poka-yoke means which of the following? (Points : 2) Quality Fool-proof Mistake Tampering

Question 8. 8. (TCO 12) A tool that helps everyone begin a project with the same understanding is a _____. (Points : 2) Scatter diagram flow chart quality circle pareto chart

Question 9. 9. (TCO 12) Which of the following pairs of charts are used together? (Points : 2) X-Bar chart and p-chart R-chart and p-chart R-chart and s-chart X-Bar chart and R-chart

Question 10. 10. (TCO 12) A bank observes that most customer complaints come from only a small subset of its total customer base. This is an example of which of the following? (Points : 2) Clustering analysis The Pareto principle Data skewing The central limit theorem

Question 11. (TCO 12) Determine the sample standard deviation(s) for the following data: 7, 9, 2, 0, 1, and 5. (Points : 5) s = 2.805 s = 3.266 s = 2.927 s = 3.578

Question 12. 12. (TCO 12) Six samples of subgroup size 5 (n=5) were collected. Determine the upper control limit (UCL) for an X-Bar chart if the mean of the sample averages is 4.7 and mean of the sample ranges is 0.35. TABLE (Points : 5) UCL = 4.86905 UCL = 4.90195 UCL = 4.72250 UCL = 5.05805

Question 13. 13. (TCO 12) Twenty samples of subgroup size of 5 (n = 5) were collected for a variable measurement. Determine the upper control limit (UCL) for an R-chart if the mean of the sample ranges equals 4.4. TABLE (Points : 5) UCL = 9.3060 UCL = 1.4695 UCL = 11.3256 UCL = 8.8176

Essay Questions

Question 1

What are the advantages of studying a sample from the population instead of studying the entire population though a census?

Question 2

From the standpoint of SPC, what does the standard deviation measure?

Question 3

What is a judgment sample?

Question 4

Explain the difference between Type I and Type II errors in the context of a control chart. Why is it important to give operators control over their processes?

Question 5

What conditions support the use of a control chart for individuals? Discuss any limitations associated with the chart use. Explain the relationship that exists between a histogram and a control chart.

Production Planning and Optimization Assignments

Assignment 1: Bicycle Wheel Manufacturing

A firm manufactures bicycle wheels. Given the following costs and quarterly sales forecasts, use the transportation method to design an economical production plan that will meet demand. Calculate the total cost of the plan.

• Quarter 1: Sales Forecast 50,000
• Quarter 2: Sales Forecast 150,000
• Quarter 3: Sales Forecast 200,000
• Quarter 4: Sales Forecast 52,000
• Inventory carrying cost: $3 per pair of wheels per quarter
• Production per employee: 1,000 pairs of wheels per quarter
• Regular workforce: 50 workers
• Overtime capacity: 50,000 pairs of wheels
• Subcontracting capacity: 40,000 pairs of wheels
• Cost of regular production: $50 per pair of wheels
• Cost of overtime production: $75 per pair of wheels
• Cost of subcontracting: $85 per pair of wheels

Assignment 2: Chip Production Line Assignment

A firm produces five different integrated chip products using five dedicated production lines with varying capabilities. The process times (in hours) for each product on each line are estimated as follows. Assign products to lines to minimize completion time.

Assign each product to a production line so that all products are completed as soon as possible, considering the processing times and line capacities.

Assignment 3: Cost Optimization

Use the transportation approach to develop a cost-effective production plan for the bicycle wheel manufacturing scenario detailed above. Calculate total costs and determine optimal production and inventory levels for each quarter based on costs and demand.

Assignment 4: Production Line Scheduling

For the chip production, optimize the assignment of products to lines by considering processing times, to minimize overall completion time. Document the assignment and rationale.

References

• Montgomery, D. C. (2019). Introduction to Statistical Quality Control (8th ed.). Wiley.
• Ross, S. M. (2014). Introduction to Probability and Statistics for Engineers and Scientists. Academic Press.
• Juran, J. M., & Godfrey, A. B. (1999). Juran's Quality Handbook. McGraw-Hill.
• Evans, J. R., & Lindsay, W. M. (2014). Managing for Quality and Performance Excellence (9th ed.). Cengage Learning.
• Wheeler, D. J., & Chambers, D. S. (2010). Understanding Statistical Process Control. SPC Press.
• Taguchi, G. (1986). Introduction to Quality engineering: Designing quality into products and processes. Asian Productivity Organization.
• Oakland, J. S. (2014). Statistical Process Control. Routledge.
• Shingo, S. (1986). Zero Quality Control: Source Inspection and the Poka-Yoke System. Productivity Press.
• Lindsey, J. K. (2010). Introducing Monte Carlo Simulation. Oxford University Press.
• Kumar, S., & Suresh, N. (2017). Production and Operations Management. Oxford University Press.