(13-7. The compressive strength of concrete is being stud- ied, and four differe
ID: 3314534 • Letter: #
Question
(13-7. The compressive strength of concrete is being stud- ied, and four different mixing techniques are being investi- gated. The following data have been collected. (a) Test the hypothesis that mixing techniques affect the strength of the concrete. Use = 0.05. (b) Find the P-value for the F-statistic computed in part (a). (c) Analyze the residuals from this experiment. Mixing Technique Compressive Strength (psi) 3129 3200 2800 2600 3000 3300 2900 2700 2865 2975 2985 2600 2890 3150 3050 2765 4.Explanation / Answer
Null Hypothesis: There is no significance meandifference between the four mixing techniques
Alternative Hypothesis: There is a significancemean difference between the four mixing techjniques
By using some statistical package we have thefollowing results
One-way ANOVA: Compressivestrength versus Technique
Source DF SS MS F P
Technique 3 489740 163247 12.73 0.000
Error 12 153908 12826
Total 15 643648
S = 113.3 R-Sq = 76.09% R-Sq(adj) = 70.11%
SInce the p-value is very much less than 0.05,the level of singificance so we reject the null hypothesis andconclude that there is a significance mean difference between thefour mixing techjniques
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.