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Consider the accompanying data collected for a two-way ANOVA, Click the icon to view the data table. a) Using a = 0.01. is there significant interaction between Factors A and B? b) Using a = 0.01, are the Factor A means different? c) Using a = 0.01, are the Factor B means different? A. Ho: Factor A and B do Interact, H1 : Factor A and B do not interact O B. He: Factor A and B do not interact, H. : Factor A and B do interact OC. Ho HA - HB. HA HA # HS OD. Ho: HATH3 . Hy HA = Ha Find the p-value for the interaction between Factors A and B i Data collected for a two-way ANOVA p-value = (Round to three decimal places as needed.) Draw the appropriate conclusion for the interaction between Factors A and B. Choose the correct answer below. Factor A Factor B Level 1 Level 2 Level 3 O A. Do not reject the null hypothesis. There is insufficient evidence to conclude that the means differ. Level 1 30 28 B. Reject the null hypothesis. There is sufficient evidence to conclude that Factors A and B interact. 20 30 21 35 C. Do not reject the null hypothesis. There is insufficient evidence to conclude that Factors A and B interact. Level 2 20 21 35 ()D. Reject the null hypothesis. There is insufficient evidence to conclude that the means differ. 22 28 21 33 b) Using a = 0.01, are the Factor A means different? Identify the hypotheses to test for Factor A. Choose the correct answer below. Print Done A. Ho: HA1 = HA2 = HAS. Hy: Not all Factor A means are equal OB. HO: HA = HD. H, : HA Ha ( C. Hof HAT " HAZ =HA3. H1: HA1 > HA2 > HA3 OD. Ho: PAT # HAZ # HA3. H1 : HAT = HAZ =HAS Find the p-value for Factor A. p-value = (Round to three decimal places as needed.) Draw the appropriate conclusion for Factor A. Choose the correct answer below. () A. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all Factor A means are equal Q)B. Reject the null hypothesis. There is insufficient evidence to conclude that the means differ. O C. Reject the null hypothesis. There is sufficient evidence to conclude that not all Factor A means are equal () D. It is inappropriate to draw a conclusion from this test because the Factors A and B interact c) Using a = 0.01, are the Factor B means different? Identify the hypotheses to test for Factor B. Choose the correct answer below. O A Hy: Pay = Paz. Hy : Not all Factor B means are equal OB HO HA = HO . H, HA # HB O C Hy Hat # Haz #Hgo. Hy : Not all Factor B means are equal Click to select your answers)