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