12.49 In analyzing coal samples for ash content, two types of crucibles and three temperatures were used in a complete factorial arrangement, with as listed in table below.

(Two independent observations were taken on each treatment.) Note that “crucible” is not a quantitative factor, but it can still be considered to have two levels even though the levels cannot be ordered as to high and low.
Perform an analysis of variance, conducting appropriate tests at the 5% significance level.
Does there appear to be a difference between the two types of crucible with respect to average ash content?

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Crucible Steel Silica 825 8.7 7.2 9.3 9.1 Temperature 875 9.4 9.6 9.7 9.8 925 10.1 10.2 10.4 10.7