PRACTICE EXERCISES FOR STRYKER
MINITAB SEMINAR
    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?
David R. González Barreto                                             Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                                            Page |1
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |2
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |3
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
Prueba Pareada
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |4
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
Análisis de Tamaño de Muestra
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |5
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |6
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |7
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
    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?
David R. González Barreto                                            Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                                           Page |8
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                  Page |9
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
    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.
David R. González Barreto                                          Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                                       P a g e | 10
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 11
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 12
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
    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
David R. González Barreto                                         Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                                       P a g e | 13
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 14
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 15
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
    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
David R. González Barreto                                        Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                                     P a g e | 16
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 17
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 18
                  PRACTICE EXERCISES FOR STRYKER
                        MINITAB SEMINAR
David R. González Barreto                   Stryker, Arroyo Puerto Rico
Adiestramiento de Minitab                                P a g e | 19