We will
perform ANOVA on the following data, which we pretend to be random
samples drawn from four different populations. Each of these
samples represents a different treatment.
Sample 1 
Sample 2 
Sample 3 
Sample 4 
6.33 
6.26 
6.44 
6.26 
6.26 
6.36 
6.38 
6.23 
6.31 
6.23 
6.58 
6.19 
6.29 
6.27 
6.54 
6.21 
6.40 
6.19 
6.56 


6.50 
6.34 


6.19 
6.58 


6.22 


We are
testing the following hypotheses:
Step 1 (enter this data
into four lists in the calculator):

Step 2:
Step 3 (results):
Hence, with such a small
pvalue —
barely more than 0.02% — we can confidently reject the null hypothesis
and conclude that a significant difference does exist between at least
two of the treatments. 