STATISTICS FOR ENGINEERS+SCI.-ACCESS
4th Edition
ISBN: 9781259998584
Author: Navidi
Publisher: MCG
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Chapter 9.3, Problem 8E
Adding glass panicles to clay brick may improve the structural properties of the brick. The article “Effects of Waste Glass Additions on the Properties and Durability of Fined Clay Brick” (S. Chidiac and L. Federico, Can J Civ Eng. 2007:1458–1466) describes experiments in which the compressive strength (in MPa) was measured for bricks with varying amounts of glass content and glass particle size. The results in the following table are consistent with means and standard deviations presented in the article.
- a. Estimate all main effects and interactions.
- b. Construct an ANOVA table. You may give
ranges for the P-values. - c. Is the additive model plausible? Provide the value of a test statistic and the P-value.
- d. Can the effect of glass content on strength be described by interpreting the main effects of glass content? If so, interpret the main effects, including the appropriate test statistic and P-value. If not, explain why not.
- e. Can the effect of particle size on strength be described by interpreting the main effects of particle size? If so, interpret the main effects, including the appropriate test statistic and P-value. If not, explain why not.
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Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 ≠ ?5Ha: at least two ?i's are equalH0: ?1 = ?2 = ?3 = ?4 = ?5Ha: all five ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 = ?5Ha: at least two ?i's are unequalH0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 ≠ ?5Ha: all five ?i's are equal
Test the relevant hypotheses using analysis of variance with ? = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.)
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An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279) considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 18 (78%) repairs were successful, but for shorter tears, 22 of 30 (73%) repairs were successful. A doctor would like to know if there is evidence that the success rate is greater for longer tears. The P-value for the test H0: p1 = p2 versus H1: p1 > p2 is closest to:
Chapter 9 Solutions
STATISTICS FOR ENGINEERS+SCI.-ACCESS
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