/* Engineering Problem Unit 2 Section 1 */
 options ls=78 ps=50 nodate;
data Mining;
input Day Yield;
cYield = Yield - 50;  /* Center the data around 50 t/day */
datalines;
 1    57.8
 2    58.3
 3    50.3
 4    38.5
 5    47.9
 6   157.0
 7    38.6
 8   140.2
 9    39.3
10   138.7
11    49.2
12   139.7
13    48.3
14    59.2
15    49.7
;
proc univariate;
var Yield cYield;
title " Engineering Problem 2 Unit 2 Section 1 ";
run;

                    Engineering Problem 2 Unit 2 Section 1                   9

                           The UNIVARIATE Procedure
                               Variable:  Yield

                                   Moments

       N                          15    Sum Weights                 15
       Mean                    74.18    Sum Observations        1112.7
       Std Deviation      44.1813826    Variance            1951.99457
       Skewness           1.12926791    Kurtosis             -0.634502
       Uncorrected SS      109868.01    Corrected SS         27327.924
       Coeff Variation    59.5596962    Std Error Mean      11.4075839


                          Basic Statistical Measures

                Location                    Variability

            Mean     74.18000     Std Deviation           44.18138
            Median   50.30000     Variance                    1952
            Mode       .          Range                  118.50000
                                  Interquartile Range     90.80000


                          Tests for Location: Mu0=0

               Test           -Statistic-    -----p Value------

               Student's t    t  6.502692    Pr > |t|    <.0001
               Sign           M       7.5    Pr >= |M|   <.0001
               Signed Rank    S        60    Pr >= |S|   <.0001


                           Quantiles (Definition 5)

                            Quantile      Estimate

                            100% Max         157.0
                            99%              157.0
                            95%              157.0
                            90%              140.2
                            75% Q3           138.7
                            50% Median        50.3
                            25% Q1            47.9
                            10%               38.6
                            5%                38.5
                            1%                38.5
                            0% Min            38.5
                    Engineering Problem 2 Unit 2 Section 1                  10

                           The UNIVARIATE Procedure
                               Variable:  Yield

                             Extreme Observations

                    ----Lowest----        ----Highest----

                    Value      Obs         Value      Obs

                     38.5        4          59.2       14
                     38.6        7         138.7       10
                     39.3        9         139.7       12
                     47.9        5         140.2        8
                     48.3       13         157.0        6
                    Engineering Problem 2 Unit 2 Section 1                  11

                           The UNIVARIATE Procedure
                              Variable:  cYield

                                   Moments

       N                          15    Sum Weights                 15
       Mean                    24.18    Sum Observations         362.7
       Std Deviation      44.1813826    Variance            1951.99457
       Skewness           1.12926791    Kurtosis             -0.634502
       Uncorrected SS       36098.01    Corrected SS         27327.924
       Coeff Variation    182.718704    Std Error Mean      11.4075839


                          Basic Statistical Measures

                Location                    Variability

            Mean     24.18000     Std Deviation           44.18138
            Median    0.30000     Variance                    1952
            Mode       .          Range                  118.50000
                                  Interquartile Range     90.80000


                          Tests for Location: Mu0=0

               Test           -Statistic-    -----p Value------

               Student's t    t  2.119643    Pr > |t|    0.0524
               Sign           M       0.5    Pr >= |M|   1.0000
               Signed Rank    S      16.5    Pr >= |S|   0.3666


                           Quantiles (Definition 5)

                            Quantile      Estimate

                            100% Max         107.0
                            99%              107.0
                            95%              107.0
                            90%               90.2
                            75% Q3            88.7
                            50% Median         0.3
                            25% Q1            -2.1
                            10%              -11.4
                            5%               -11.5
                            1%               -11.5
                            0% Min           -11.5
                    Engineering Problem 2 Unit 2 Section 1                  12

                           The UNIVARIATE Procedure
                              Variable:  cYield

                             Extreme Observations

                    ----Lowest----        ----Highest----

                    Value      Obs         Value      Obs

                    -11.5        4           9.2       14
                    -11.4        7          88.7       10
                    -10.7        9          89.7       12
                     -2.1        5          90.2        8
                     -1.7       13         107.0        6