The tensile strength of a brand of cement is being studied using four different
ID: 3181241 • Letter: T
Question
The tensile strength of a brand of cement is being studied using four different mixing techniques. The following ANOVA table summarizes the results—there were equal sample sizes for the mixing techniques.
(a) If Yij is the jth observed tensile strength with the ith mixing technique, what does the ANOVA model say about Yij? Define any parameters used.
(b) What test corresponds to the given test statistic in the ANOVA table? State the hypotheses and conclusion if = .05.
Df SS MS Mixing 489740 163247 12.728 12 153908 12826 ErrorExplanation / Answer
a, the p value of the F stastic value 12.728 is 0.0005 which is less than 0.05,therefore Ho which can be stated as "There is no significant effect of mixing techniques on the tensile strength of the cement" is rejected.
Degrees of freedom: The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom.
b, F-test corresponds to the given test stastic in the ANOVA table.
H0:There is no significant effect of mixing techniques on the tensile strength of the cement.
H1:There is significant effect of mixing techniques on the tensile strength of the cement.
Conclusion:
At5%LOS, we reject H0.
therefore , there is significant effect of mixing tchniques on the tensile strength of the cement.
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