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An analysis of variance experiment produced a portion ofthe accompanying ANOVA table. {You may nd it useful to reference the E table] a. Specify the
An analysis of variance experiment produced a portion ofthe accompanying ANOVA table. {You may nd it useful to reference the E table] a. Specify the competing hypotheses in order to determine whether some differences exist between the population means. 0 Ha: pi}; = #5 = #5 = #1)? Ha.- Not all population means are equal. 0 Hi}: FA 2 #3 a [\"0 a pm HA: Not all population means are equal. 0 Hi}: FA 5 #3 s [\"0 a pm HA: Not all population means are equal. b. Fill in the missing statistics in the ANOVA table. {Round intermediate calculations to at least 4 decimal places. Round "M9 to 4 decimal places and "F\" to 3 decimal places.) Scum ef'u'arllllan Between Groups 12 45 wmu'n Grams 83 53 T6 E'_ 96 03 79- c. At the 10% signicance level, what is the conclusion to the test? 0 Reject an; we can conclude that some means differ. 0 Do not reject an; we cannot conclude that some means differ. 0 Do not reject an; we can conclude that some means differ. O Reject an; we cannot conclude that some means differ. Source of Variation SS df MS F p-value Between Groups 12.45 3 ? 0.0140 Within Groups 83.58 76 7 Total 96.03 79
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