What’s going to be covered
      • Diagrams
      • Data Summary and Presentation
      • Binomial distribution
      • Engineering/Statistics Toolbox
      • Z-test
       • Type 2 Error
      • T-test
      • C2 Test
                         Box Plot                                   Dot Diagram
                   Q        Q    Q
                    1        2     3
                                                                            x = 1550 
            1.5 IQR       IQR           1.5 IQR            1030    1040 1050      1060    1070   1080
              IQR = Inter Quartile Range
                                          Histogram
                        Frequency                              Cumulative Frequency
          25                                          70
                                                      60
          20
                                                      50
          15                                          40
          10                                          30
                                                      20
          5
                                                      10
          0                                           0
              20   30   40    50   60   70    80          20   30    40   50    60   70   80
                                               Data Summary
                     Correlation                    Stem and Leaf Diagram            Quartile/Percentile Calculation
                     Coefficient
                                                    Stem                                Quartile
                       n                                  Leaf             Freq.
                                                         1          3           1       Percentile
                         (x – x)(y – y)                                                st (n + 1)
                      S i          i                                                  1                th   .05(n + 1)
                     i = 1                               2        2 4 5         3           4         5
            R =                                          3      3 6 8 1 4       5        2(n + 1)
                                   n                                                   nd                th
                     n                                   4     4 6 2 4 5 6 3    7     2     4         95    .95(n + 1)
                      (x – x)2       (y – y)2            5       5 2 5 2
                    Si            S i        )                                  4        3(n + 1)
                 (           )(                                                        rd
                   i = 1         i = 1                   7                      0     3     4
                                                         8          4           1
                                                                                             Value will give 
                                                                                             ordered 
                                                                                             observation
                                                                                             Interpolate as 
                                                                                             needed
                 Binomial Distribution
                 n  x     n-x
       P(X = x) =  p  (1-p)       We use Binomial Distribution when:
               (  )
                 x
                       n!         1. Trials are independent
                 n =              2. Each trial results in one of two 
               (  )
                 x  x!(n – x)!     possible outcomes, success or 
                                   failure
                                  3. The probability, p, remains 
                                   constant