The tensile strength of a brand of cement is being studied using four different

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.

Df SS MS F

Mixing 3 489740 163247 12.728

Error 12 153908 12826

(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.

Explanation / Answer

a, Here, the p value for Fstastic value 12.728 is 0.0005 which is less than 0.05 therefore ur null hypothesis gets rejected that is the mixing technique has significant effect on the tensile strength of a brand of cement.

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 statistic in the ANOVA table.

Ho:There is no significant effect of the mixing technique on the tensile strength of the cement.

H1:There is a significant effect of the mixing technique on the tensile strength of the cement.

Conclusion:

At 5% LOS,we reject the null hypothesis Ho.

Thus, there is a significant effect of the mixing technique on the tensile strength of the cement.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.