Assignment Chapter 1 to 7
Answer the following questions:
1.21. Explain why it is necessary to consider variability around the mean or nominal dimension as a measure of quality. PAGE 47
1.15. What is a Six Sigma process? PAGE 47
2.13. Explain why it is important to separate sources of variability into special or assignable causes and common or chance causes. PAGE 63
2.19. Discuss why, in general, determining what to measure and how to make measurements is more difficult in service processes and transactional businesses than in manufacturing. PAGE 63
5.2. Discuss the relationship between a control chart and statistical hypothesis testing. PAGE 231
5.3. Discuss type I and type II errors relative to the control chart. What practical implication in terms of process operation do these two types of errors have?PAGE 231
5.4. What is meant by a process that is in a state of statistical control?PAGE 231
5.5. If a process is in a state of statistical control, does it necessarily follow that all or nearly all of the units of product produced will be within the specification limits?PAGE 231
5.15. How do the costs of sampling, the costs of producing an excessive number of defective units, and the costs of searching for assignable causes impact on the choice of parameters of a control chart?PAGE 231
5.24. Consider the time-varying process behavior shown below and on the next page. Match each of these several patterns of process performance to the corresponding and R charts shown in figures (a) to (e) in PAGE 232 and 233.
6.5. A hospital emergency department is monitoring the time required to admit a patient using and R charts. Table 6E.1 presents summary data for 20 subgroups of two patients each (time is in minutes). Answer a) and b) See PAGE 280 for more details.
6.9. The data shown in Table 6E.4 are the deviations from nominal diameter for holes drilled in a carbon-fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten-thousandths of an inch. (a) Set up and R charts on the process. Is the process in statistical control? (b) Estimate the process standard deviation using the range method. More details PAGE 281.
6.11. The fill volume of soft-drink beverage bottles is an important quality characteristic. The volume is measured (approximately) by placing a gauge over the crown and comparing the height of the liquid in the neck of the bottle against a coded scale. On this scale, a reading of zero corresponds to the correct fill height. Fifteen samples of size n = 10 have been analyzed, and the fill heights are shown in Table 6E.6.Answer a) and b). More details in PAGE 282.
7.1. A financial services company monitors loan applications. Every day 50 applications are assessed for the accuracy of the information on the form. Results for 20 days are i=1Σ20Di = 46, where Di is the number of loans on the ith day that are determined to have at least one error. What are the center line and control limits on the fraction nonconforming control chart? See page 244 for more details.
7.9. The data in Table 7E.3 give the number of nonconforming bearing and seal assemblies in samples of size 100. Construct a fraction nonconforming control chart for these data. If any points plot out of control, assume that assignable causes can be found and determine the revised control limits. PAGE 345.
7.14. Based on the data in Table 7E.8 if an np chart is to be established, what would you recommend as the center line and control limits? Assume that n = 500. More details page 346.
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