Question

The accompanying data was obtained in an experiment to investigate whether compressive strength of concrete cylinders depends on the type of capping material used (factor A) or variability in different batches (factor B). Each number is a cell total (xij.) based on K = 3 observations. Batch 1 2 3 4 5 Capping Material 1 1844 1941 1934 1888 1799 2 1778 1850 1793 1785 1626 3 1804 1892 1890 1890 1758 In addition, ΣΣΣxijk2 = 16,806,946 and ΣΣxij.2 = 50,406,696. The hypotheses are as follows: H0G: σG2 = 0 HaG: σG2 > 0 H0A: α1 = α2 = α3 = 0 HaA: at least one αi ≠ 0 H0B: σB2 = 0 HaB: σB2 > 0 Obtain the ANOVA table and then test at level 0.01 the hypotheses H0G versus HaG, H0Aversus HaA, and H0B versus HaB, assuming that capping is a fixed effect and batches is a random effect. (Round your answers to two decimal places.) Source df SS MS f A Correct: Your answer is correct. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. B Correct: Your answer is correct. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. AB Correct: Your answer is correct. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. Error Correct: Your answer is correct. Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. Total Correct: Your answer is correct. Incorrect: Your answer is incorrect.

Answer 1