The engineering department at a steel mill is studying the tensile strength of a particular grade of steel when fabricated at various pressures (Factor A) and temperatures (Factor B). The accompanying ANOVA table shows a portion of the results from conducting a two-way ANOVA test with interaction.

a. How many levels did pressure have?
b. How many observations were run for each combination of pressure-temperature settings?
c. At the 5% significance level, can you conclude that there is interaction between pressure and temperature?
d. At the 5% significance level, can you conclude that the main effect of pressure is significant?
e. At the 5% significance level, can you conclude that the main effect of temperature is significant?

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F crit Source of Variation Sample (B, temperature) Columns (A, pressure) Interaction Within SS df MS F p-value @5% 150.22 1 150.22 62.06 24.11 2 12.06 26.11 Total 611.78 17