{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ismch16 - 72 Instructors Solutions Manual for Statistics...

This preview shows pages 1–9. Sign up to view the full content.

72 Instructor’s Solutions Manual for Statistics for Business & Economics, 5 th Edition Chapter 16: Introduction to Quality 16-1 thru 5. Various answers. 16.6 a. 4 ˆ / 5.42/.959 5.6517 s c σ = = = b. CL = X = 192.6 LCL = 3 3 4 3 , X A s where A c n - = = 192.6 – 1.18(5.42) = 186.2044 UCL = 3 3 4 3 , X A s where A c n + = = 192.6 + 1.18(5.42) = 198.9956 c. CL = 5.42 LCL = .12(5.42) = .6504 UCL = 1.88(5.42) = 10.1896 16.7 a. ˆ 3.67 /.952 3.855 σ = = b. CL = 93.2 LCL = 93.2 – 1.29(3.67) = 88.4657 UCL = 93.2 + 1.29(3.67) = 97.9343 c. CL = 3.67 LCL = .03(3.67) = .1101 UCL = 1.97(3.67) = 7.2299 16.8 a. ˆ 1.23/.965 1.2746 σ = = b. CL = 19.86 LCL = 19.86 – 1.1(1.23) = 18.507 UCL = 19.86 + 1.1(1.23) = 21.213 c. CL = 1.23 LCL = .18(1.23) = .2214 UCL = 1.82(1.23) = 2.2386 16.9 a. ˆ 1.75/.940 1.8617 σ = = b. CL = 230.5 LCL = 230.5 – 1.43(1.8617) = 227.8378 UCL = 230.5 + 1.43(1.8617) = 233.1622 c. CL = 1.75 LCL = 0(1.75) = 0.0 UCL = 2.09(1.75) = 3.6575 16.10 a. 4999.4/30 149.98 x = = b. 179.67 / 30 5.989 s = = c. ˆ 5.989/.965 σ = = 6.2062 d. CL = 149.98 LCL = 149.98 – 1.1(5.989) = 143.3921 UCL = 149.98 + 1.1(5.989) = 156.5679

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

View Full Document
73 Instructor’s Solutions Manual for Statistics for Business & Economics, 5 th Edition e. The X chart shows a process where the level is under statistical control 30 20 10 0 160 150 140 Sample Number Sample Mean X-bar Chart for Exercise 16-10 Mean=149.98 UCL=156.57 LCL=143.39 f. CL = 5.989 LCL = .18(5.989) = 1.078 UCL = 1.82(5.989) = 10.9 g. S-chart 10 20 30 0 2 4 6 8 10 12 Index Sample StDev S Chart for 16-10 S BAR=5.989 LCL=1.078 UCL=10.9
Chapter 16: Introduction to Quality 74 16-11 a. 396.8/ 20 19.84 x = = b. 39.8/ 20 1.99 s = = c. ˆ 1.99/.952 σ = = 2.0903 d. CL = 19.84 LCL = 19.84 – 1.29(1.99) = 17.2729 UCL = 19.84 + 1.29(1.99) = 22.4071 e. 20 10 0 22 21 20 19 18 Sample Number Sample Mean X-bar Chart for XBar_16- Mean=19.84 UCL=21.90 LCL=17.78 f. CL = 1.99, LCL = .03(199) = .0597, UCL = 1.97(1.99) = 3.9203 g. S Chart

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

View Full Document
75 Instructor’s Solutions Manual for Statistics for Business & Economics, 5 th Edition 20 15 10 5 4 3 2 1 0 Index Sample StDev S Chart for 16-11 UCL=3.9203 S BAR=1.99 LCL=.0597 16.12 a. 192.6 ± 3(5.6517): (175.6449, 209.5551) These values lie within the tolerance limits b. 215 170 1.327 6(5.6517) p C - = = The process is not capable since 1.33 p C < c. 215 192.6 1.321 3(5.6517) pk C - = = The process is not capable since 1.33 pk C < 16.13 a. 93.2 ± 3(3.855): (81.635, 104.765) These limits are beyond the tolerances set by management b. 100 85 .648 6(3.855) p C - = = The process is not capable since 1.33 p C < c. 100 93.2 .588 3(3.855) pk C - = = The process is not capable since 1.33 pk C < 16.14 a. 19.86 ± 3(1.2746): (16.0362, 23.6838) These limits are beyond the tolerances set by management b. 22 18 .523 6(1.2746) p C - = = The process is not capable since 1.33 p C < c. 19.86 18 .486 3(1.2746) pk C - = = The process is not capable since 1.33 pk C < 16.15 a. 149.98 ± 3(6.2062): (131.3614, 168.5986)
Chapter 16: Introduction to Quality 76 These values lie within the tolerance limits b. 170 130 1.074 6(6.2062) p C - = = The process is not capable since 1.33 p C < c. 149.98 130 1.073 3(6.2062) pk C - = = The process is not capable since 1.33 pk C < 16.16 a. 19.84 ± 3(2.0903): (13.5691, 26.1109) These limits are beyond the tolerances set by management b. 24 16 .638 6(2.0903) p C - = = The process is not capable since 1.33 p C < c. 19.84 16 .612 3(2.0903) pk C - = = The process is not capable since 1.33 pk C < 16.17 CL = .056, LCL = .056 – 3 .056(.944) 250 = .0124 UCL = .056 + 3 .056(.944) 250 = .0996 16.18 CL = .016, LCL = 0, UCL = .016 + 3 .016(.984) 500 = .0328 16.19 a. 3.74/30 .1247 p = = , CL = .1247, LCL = .1247 – 3 .1247(.8753) / 200 = .0546

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

View Full Document
77 Instructor’s Solutions Manual for Statistics for Business & Economics, 5 th Edition UCL= .1247 + 3 .1247(.8753) / 200 = .1948 b. p-chart 30 20 10 0 0.20 0.15 0.10 0.05 Sample Number Proportion P Chart for Exercise 16-19 P=0.1247 UCL=0.1947 LCL=0.05459 The p-chart shows a process that is in statistical control
Chapter 16: Introduction to Quality 78 16.20 a. 1.02/ 20 .051 p = = , CL = .051, LCL = .051 – 3 .051(.949) /500 = .0215 UCL = .051 + 3 .051(.949) /500 = .0805 b. p-chart 20 10 0 0.085 0.075 0.065 0.055 0.045 0.035 0.025 0.015 Sample Number Proportion P Chart for Exercise 16-20 P=0.051 UCL=0.08052 LCL=0.02148 No evidence that the process is out of statistical control

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

View Full Document
79 Instructor’s Solutions Manual for Statistics for Business & Economics, 5 th Edition 16.21 a.
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