MIE364S_T_5_09

# MIE364S_T_5_09 - MIE364H1S Methods of Quality Control and...

This preview shows pages 1–2. Sign up to view the full content.

MIE364H1S Methods of Quality Control and Improvement Course Instructor: Prof. V. Makis Tutorial #5 1. Samples of size n = 5 are taken from a manufacturing process every hour. A quality characteristic is measured and X and R are computed for each sample. After 30 samples have been analyzed, we have: 30 1 705.3, i i X = = 30 1 128. i i R = = a. Find the control limits for the X and R charts. b. Assume that both charts exhibit control and that the quality characteristic is normally distributed. Estimate the process parameters and find the natural tolerance limits of the process. c. Assume that the specification limits are: LSL = 18, USL = 30. Perform capability analysis. Estimate the fraction nonconforming below the LSL and above the USL. d. Under the assumptions in part b, find a 95% confidence interval for For the construction of the confidence interval, assume that the sample standard deviation for the whole sample consisting of 150 observations is S = 1.8. To obtain the critical value . p C 2 , α υ χ for the Chi-squared distribution with υ degrees of freedom, one can use the approximate formula: 2 3 , 2 2 (1 ) 40 9 9 z for α υ α χ υ υ υ υ + > . where z α is the critical value of the standard normal distribution, Ф (z α ) = 1 – α . e. The supplier claims that the process capability exceeds = 1.2. Under the assumptions in part b, c, and d, what conclusions can be drawn from the data? Use α = 0.05. p C 2. A supplier claims that his process capability exceeds = 1.35. He also wants that if the process capability exceeds 1.89 the probability of judging the process capable will be 0.95. The producer, on the other hand, wants to be sure that if the

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern