practice exercises for stryker minitab...

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab Page | 1 1. The following table shows the measurements of the length of a manufactured plastic part before and after been submitted to a thermal process. Part Before Thermal P. After Thermal P. Difference 1 10.49 9.11 1.38 2 16.62 13.25 3.37 3 17.30 14.72 2.58 4 15.48 12.74 2.74 5 12.97 10.12 2.85 6 17.26 14.57 2.69 7 13.40 11.22 2.18 8 13.90 11.10 2.8 9 13.63 11.42 2.21 10 13.26 10.91 2.35 11 14.37 12.11 2.26 12 11.70 8.62 3.08 13 15.47 12.59 2.88 14 17.84 15.09 2.75 15 14.07 10.55 3.52 - Construct a boxplot for both treatments (before and after). Discuss the plots. - Is the thermal process affecting the mean length of the plastic part? - What change in the part length could be detected by this test if we use a confidence level of 95% and a power of 90%? Would you increase your sample size?

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Page 1: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 1

1. The following table shows the measurements of the length of a manufactured

plastic part before and after been submitted to a thermal process.

Part Before Thermal P. After Thermal P. Difference 1 10.49 9.11 1.38 2 16.62 13.25 3.37 3 17.30 14.72 2.58 4 15.48 12.74 2.74 5 12.97 10.12 2.85 6 17.26 14.57 2.69 7 13.40 11.22 2.18 8 13.90 11.10 2.8 9 13.63 11.42 2.21 10 13.26 10.91 2.35 11 14.37 12.11 2.26 12 11.70 8.62 3.08 13 15.47 12.59 2.88 14 17.84 15.09 2.75 15 14.07 10.55 3.52

- Construct a boxplot for both treatments (before and after). Discuss the plots. - Is the thermal process affecting the mean length of the plastic part? - What change in the part length could be detected by this test if we use a

confidence level of 95% and a power of 90%? Would you increase your sample size?

Page 2: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 2

Page 3: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 3

Page 4: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 4

Prueba Pareada

Page 5: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 5

Análisis de Tamaño de Muestra

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 6

Page 7: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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Page 8: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 8

2. In a study performed, Machine A produces 56 of 200 parts with non-acceptable

aesthetics characteristics, Machine B produced 29 of 150 parts that were rejectable due to the same characteristics. - Can we conclude that there is significant difference in the rejection rate of the

two machines?

Page 9: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 9

Page 10: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 10

3. The pH of a solution is an important characteristic of a process being studied. There is a claim that the average pH produced in the solution is 6.5. Nine prepared solution were observed rendering the following results: 7.3, 6.5, 6.4, 6.1, 6.0, 6.5, 6.2, 5.8, 6.7.

- Do these readings cast doubt upon the claimed average.

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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Page 12: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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Page 13: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 13

4. Is the normal probabilistic model reasonable for the following 20 observations? If,

so, estimate the probability of having a random observation between 20 and 28.

27.29 24.78 24.01 24.26 27.51 25.72 24.51 26.51 27.07 23.41

25.76 26.43 20.84 22.65 27.93 24.16 24.57 22.85 21.66 24.21

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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Page 16: PRACTICE EXERCISES FOR STRYKER MINITAB SEMINARacademic.uprm.edu/~dgonzalez/adiestramientos/Manual... · PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR David R. González Barreto Stryker,

PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

David R. González Barreto Stryker, Arroyo Puerto Rico Adiestramiento de Minitab P a g e | 16

5. Four laboratories are being used to perform chemical analyses. Samples of the

same material are sent to the laboratories for analysis as part of the study to determine whether or not the give on the average the same results. The analytical results for the four laboratories are as follows:

Laboratory A B C D

58.7 62.7 55.9 60.7 61.4 64.5 56.1 60.3 60.9 63.1 57.3 60.9 59.1 59.2 55.2 61.4 58.2 60.3 58.1 62.3

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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PRACTICE EXERCISES FOR STRYKER MINITAB SEMINAR

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