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Chapter 16: One-Way Analysis of Variance
735
Perform a one-way ANOVA
F
test for the data. That is, test whether there is
a significant difference in the population averages for the percentage heat
loss for the four different concentrations of the non-toxic chemical mixes.
Test at a significance level of 0.01 and use the classical approach to
hypothesis testing.
Solution:
As mentioned earlier, because of the complexity of the formulas
for the
F
test, appropriate technology will be integrated into the solution of
these problems. We can use the
One-Way Analysis of Variance Test
and
the
Critical
F
-Values
workbooks to help with the computations.
The Critical
F
-Value for the problem when
= 4 and
= 37 is given in
Figure 16-16
. Note that the numerator degrees of freedom,
=
– 1
= 4 – 1 = 3 and the denominator degrees of freedom,
=
–
= 37 – 4
= 33. Thus, the critical value for the test,