More Practice Problem ANSWERS: 1-Way ANOVA

Item 3

Which is the best coffee (most cups ordered):

Blue-Label   Green-Label     Red-Label 
            13              1              5 
              4              1              2 
            10              2              2 
            13              2              2 
            11              2              6 
              3              4              4

Sum        54         12          21                87
Sum X² 584         30          89              703
N              6           6            6                18
SS           98          6          15.50          119.50

                       SS          df         ms
Between       163.00       2       81.50
Within          119.50     15         7.97
Total             282.50     17       16.62

 F = 10.23

Critical value of F = 3.68. F is significant.

Which is the best coffee. You’ll have to do t-tests to find out. But looking at the numbers above, you can guess that Blue Label is most likely to be the big winner. But you’ll know more after you do the post tests.

Item 4

Which is candle lasts more days?

Non-Sented     Low-Sented   High-Sented
      3                 5                 8
      9                 1                 2
      5                 2                 6
    11                 5                 4

Sum         28              13                20             61
Sum X²  236              55              120           411
N               4                 4                  4             12
SS           40              12.75            20         72.75

SS        df        ms

Between         27.17      2        14.08

Within            72.75      9         8.08

Total               100.92  11        9.17                

F = 1.74

 Critical value of F = 4.26. F is not significant.

Which is candle lasts more days? No significant difference between them. Choose any.

NOW YOU CHOOSE
    Day9: 1-Way ANOVA
    Bit More About 1-Way ANOVA
    Even More About 1-Way ANOVA
    Calculate 1-Way ANOVA
    Practice Problems
    More Practice Problems
    Word Problems
        Sim1        Sim2         Sim3
        Sim4        Sim5         Sim6
        Sim7        Sim8         Sim9
    Vocabulary
    Formulas
    Quiz 9
    Summary