Question

The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite) 1: 20.9 28.1 27.8 27.0 28.5 25.2 25.3 27.1 20.5 32.1 2: 26.5 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 25.0 3: 29.7 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 35.7 4:37.1 44.2 34.1 30.3 32.1 33.1 34.1 32.9 36.3 25.8 Carry out an analysis of variance Ftest at significance level 0.01. State the appropriate hypotheses. O H: 4 = 4x + 4y = WA H: all four 's are unequal O H: * Uz + 4y H: all four 's are equal O H: 4 + 4 + 4y * H: at least two y's are equal HO: W1 = 12 = 2 = 14 H: at least two y's are unequal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Source df Sum of Mean Squares Squares f Treatments Error Total Give the test statistic (Round your answer to two decimal places.) f= What can be said about the P-value for the test? OP-value > 0.100

Answer 1

F- statistic = 10.98

F-statistic value = 10.97931 P-value = 0.00003 Data Summary Groups N Mean Std. Dev. Std. Error Group 1 10 26.25 3.4974 1.106 Group 2 10 24.71 4.4371 1.4031 Group 3 10 30.02 2.8436 0.8992 Group 4 10 34 4.7787 1.5111 ANOVA Summary Sum of Squares Degrees of Freedom Mean Square Source F-Stat P-Value DF SS MS Between Groups 3 517.469 172.4897 10.9793 0 Within Groups 36 565.5753 15.7104 Total: 39 1083.0443

p value =0.00