The article "Statistical Design and Analysis of Qualification Test Program for a Small Rocket Engine" (Industrial Quality Control, 1964: 14-18) presents data from an experiment to assess the effects of vibration (A), temperature cycling (B), altitude cycling (C), and temperature for altitude cycling and firing (D) on thrust duration. A subset of the data is given here. (In the article, there were four levels of D rather than just two.) Use the Yates method to obtain sums of squares and the ANOVA table. Then assume that three- and four-factor interactions are absent, pool the corresponding sums of squares to obtain an estimate of (2, and test all appropriate hypotheses at level .05.

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D2 C. C. 21.60 21.60 1154 150 21.09 22.17 4 11.32 21.60 21.86 .75 9.82 19.57 21.85 .69 1.18 A B