7. [1 36/656 Points] PREVIOUS ANSWERS DEVORESTAT9 11.2.023. PRACTICE ANOTHER The accompanying data was obtained in an experiment to investigate whether compressive strength of concrete cylinders depends on the type of capping material used (factorA) or variability in different batches (factor B). Each number is a cell total 0'11.) based on K = 3 observations. Batch 1 2 3 4 5 1 1845 1943 1936 1888 1795 Capping Material 2 1778 1850 1792 1785 1626 3 1806 1892 1890 1892 1756 In addition, EEEXWZ = 16,809,876 and 2247.2 = $0,415,688. The hypotheses are as follows: . 2 _ H06. (762 _ 0 H35: 176 > o Hmmz1 =a2=a3= H\": at least one :1, 0 . 2 _ H05. (:52 0 H35: 0'5 >0 Obtain the ANOVA table and then test at level 0.01 the hypotheses HOG versus HaGr HOAversus HaA' and H05 versus Hag, assuming that capping is a fixed effect and batches is a random effectl (Round your answers to two decimal places.) Source df 55 MS I A T V M x 25.75 3 T v M x 19.62 J AB i I Ll Ll Error 3 J 54372 X Total 44 v i i Test for an interaction. Find the critical value. (Round your answer to two decimal places.) Fwy. = E State the conclusion in the problem context. O Fail to reject HUG. The data suggests that there is an interaction, 0 Reject HOG, The data suggests that there is an interaction. O Reject H05. The data does not suggest that there is an interaction. 0 Fail to reject Hoc' The data does not suggest that there is an interaction. Test for a capping effect. Find the critical value. (Round your answer to two decimal places.) mm = E