In a weld experiment, the hardness measurements were made for five welds from ea

Question

In a weld experiment, the hardness measurements were made for five welds from each of four fluxes, A, B, C, and D. The sample mean hardness values were X bar_A. = 254.8, X bar_B. = 260.6, X bar_C. = 268.6, and X bar_D. = 263.6. The MSE was 29.40. Before the experiment was performed, the carbon contents of the fluxes were measured. Flux B had the lowest carbon content (2.67% by weight), and flux C had the highest (5.05% by weight). The experimenter is therefore particularly interested in comparing the hardnesses obtained with these two fluxes. Find a 99% confidence interval for the difference in mean hardness between welds produced with flux B and those produced with flux C. Can we conclude that the two means differ? A. We can conclude that the treatment means differ. B. We cannot conclude that the treatment means differ.

Explanation / Answer

as p value is very low option A is correct

i ni Xi ni*(Xi-mean)^2 A 1 5 254.8 252.050 B 2 5 260.6 8.450 B 2 5 268.6 224.450 C 3 5 263.6 14.450 mean 261.900 499.400 MSG

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