Question

Required information An article presents measurements of compressive strength (in MPa) for concrete manufactured in three different plants. The results are presented in the following table: Plant Compressive Strength 47.98 A 46.42 41.00 48.45 46.58 44.71 49.20 58.14 48.60 48.22 49.94 36.00 38.06 48.25 49.29 40.47 B 42.66 49.05 47.98 40.81 46.11 C 57.28 61.58 58.72 62.58 46.38 46.98 49.17 NOTE: This is multi-part question. Once an answer is submitted, you will be unable to return to this part. Construct an ANOVA table. SS Source DF MS F Strength 0.001 P <0.01 Error Total

Answer 1

Given 49.2 48.22 49.94 46.42 41 48.45 46.58 44.71 47.98 58.14 48.6 38.06 42.66 48.25 49.05 47.98 40.81 46.11 49.29 40.47 36 61.58 58.72 62.58 46.38 46.98 49.17 57.28 Using excel DATA Data analysis> Anova:single factor>select all the data form Input data The results as follows

Anova: Single Factor SUMMARY Variance Groups Count Sum Average Row1 11 529.24 48.11273 17.28316 438.68 43.868 23.93151 Row 2 10 382.69 Row 3 7 54.67 48.60683 ANOVA Source of F crit df MS P-value Variation SS F Between 240.3679 0.001249 Groups Within Groups 480.7359 2 8.838926 3.38519 679.8562 25 27.19425 Total 27 1160.592