Word Problem ANSWERS: 1-Way ANOVA #7

Several samples are taken of each flavor of cough syrup. Which flavor tastes the best (number of complaints):

    Peach     Cherry  Melon Lemonade
          4           2          4          11
          3           1          8            8
          7           7          7            3
          5           6          3            9
          2           2          7          12

Sum X       21        18         29         43        111
Sum X²     103        94       187      419         803
N                 5          5          5          5           20
SS              14.80  29.20    18.80   49.20    112

Since you are interested in which flavor did best, which of the following tests should you perform:

a. t-test
b. ANOVA
c. correlation
d. regression
e. multiple regression

What is the independent variable in this design: flavor

What is the dependent variables in this design: complaints

Based on above data, complete the following summary table:

                      SS      df    ms

Between      74.95     3   24.98

Within        112.00   16    7.00

Total          186.95   19    9.84

F = 3.57

What is the critical value for F = 3.24

Is F significant? Yes

What should be done next?  t-tests

NOW YOU CHOOSE
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