2- A product developer is investigating the tensile strength of a new synthetic fiber that will...
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2- A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men's shirts. Strength is usually affected by the percentage of cotton used in the blend of materials for the fiber. The engineer conducted a completely randomized experiment with five levels of cotton content and replicated the experiment five times. The levels of cotton used in the experiment were 15, 20, 25, 30, and 35%. a. Is there evidence to support the claim that cotton content affects the mean tensile strength? Why? Use a=0.05. Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 4 475.8 118.940 1476 0.000 Error 20 1612 8.060 Total 24 6370 Model Summary S R-sq R-sq(adj) R-sq(pred) 2.83901 74.69% 69.63% 60.46% b. According to Fisher LSD analysis presented below, what conclusions can you draw? Fisher Pairwise Comparisons Grouping Information Using the Fisher LSD Method and 95% Confidence Factor N Mean Grouping 30 $21.40 A 25 5 17.600 20 5 15:40 35 51080 15 5 580 30-15 25-15 30-16 25-30 Fisher Individual 95% Cls Difference of Means for 15.20. 2- A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men's shirts. Strength is usually affected by the percentage of cotton used in the blend of materials for the fiber. The engineer conducted a completely randomized experiment with five levels of cotton content and replicated the experiment five times. The levels of cotton used in the experiment were 15, 20, 25, 30, and 35%. a. Is there evidence to support the claim that cotton content affects the mean tensile strength? Why? Use a=0.05. Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 4 475.8 118.940 1476 0.000 Error 20 1612 8.060 Total 24 6370 Model Summary S R-sq R-sq(adj) R-sq(pred) 2.83901 74.69% 69.63% 60.46% b. According to Fisher LSD analysis presented below, what conclusions can you draw? Fisher Pairwise Comparisons Grouping Information Using the Fisher LSD Method and 95% Confidence Factor N Mean Grouping 30 $21.40 A 25 5 17.600 20 5 15:40 35 51080 15 5 580 30-15 25-15 30-16 25-30 Fisher Individual 95% Cls Difference of Means for 15.20.
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