Question 9.6: The following output (from MTNITAB) presents the ANOVA table...

Principles of Statistics for Engineers and Scientists

The following output (from MTNITAB) presents the ANOVA table for the weld data in Table 9.1 (in Section 9.1). Which pairs of fluxes, if any, can be concluded, at the 5% level, to differ in their effect on hardness?

One-way ANOVA : A. B. C. D

\begin{array}{lrrrrr}\text{Source}& \text{OF}& \text{SS}& \text{MS}& F & P \\\text{Factor}& 3 & 743.40 & 247.800 & 3.87 & 0.029 \\\text{Error}& 16 & 1023.60 & 63.975 & & \\\text{Total}& 19 & 1767.00 & & &\end{array}

s = 7. 998 R-Sq = 42 . 07% R-Sq(adj) 31 . 21%

TABLE 9.1 Brine II hardness of welds using four different fluxes
Flux	Sample Values					Sample Mean	Sample Standard Deviation
A	250	264	256	260	239	253.8	9.7570
B	263	254	267	265	267	263.2	5.4037
C	257	279	269	273	277	271.0	8.7178
D	253	258	262	264	273	262.0	7.4498

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