Question

In SAS code please.

Tennis balls are tested in a machine to show how many bounces they can withstand before they fail to bounce 30% of their dropping height. Two brands of balls (W and P) are compared. In addition, the effect of shelf life on these brands is tested. Half of the balls of each brand are 6 months old, the other half, fresh. Using a two-way analysis of variance, what conclusions can you reach? The data are shown below:

Brand W (New): 67 72 74 82 81

Brand P (New): 75 76 80 72 73

Brand W (Old): 46 44 45 51 43

Brand P (Old): 63 62 66 62 60

Answer 1

DATA df;

   INPUT Age $ count ;

DATALINES;

New 67

New 72

New 74

New 82

New 81

old 46

old 44

old 45

old 51

old 43

New 75

New 76

New 80

New 72

New 73

old 63

old 62

old 66

old 62

old 60

;

DATA df;

   DO brand = 'w','p';

      DO age = 'n','o';

         DO cell = 1 TO 5;

            INPUT count @;

            OUTPUT;

         END;

      END;

   END;

DATALINES;

67 72 74 82 81 46 44 45 51 43 75 76 80 72 73 63 62 66 62 60

;

PROC ANOVA DATA=lab62;

  

   CLASS brand age;

   MODEL count = brand |age;

      MEANS brand | age ;

RUN;

if p-value < alpha, we reject the null hypothesis

if p-value > alpha, we fail to reject the null hypothesis

here p-value is less than alpha for all three factors, hence they all are significant