- Partially Completed Two Way Anova Summary Ta Sum Of Degrees Of Mean Sum Of Squares Freedom Squares 80 2 F N Source Facto 1 (9.29 KiB) Viewed 85 times
F a) Complete the two-way ANOVA table below. Sum of Degrees of Mean Sum of Source Squares Freedom Squares Factor A 80 2 Factor B 2. Interaction 20 Error 180 18 Total 420 26 (Type integers or decimals.) b) How many replications are present for each cell? r= c) Using a = 0.05, is there significant interaction between Factors A and B? Identify the hypotheses for the interaction between Factors A and B. Choose the correct answer below. O A. Ho: Factor A and B do not interact, Hy: Factor A and B do interact OB. Ho: MAHB, HPA * HB OC. Ho: Factor A and B do interact, Hy: Factor A and B do not interact OD. Ho: MA* HB, HT: HA = HB Find the p-value for the interaction between Factors A and B. 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. O A. Reject the null hypothesis. There is sufficient evidence to conclude that Factors A and B interact. OB. Reject the null hypothesis. There is insufficient evidence to conclude that the means differ. OC. Do not reject the null hypothesis. There is insufficient evidence to conclude that the means differ. OD. Do not reject the null hypothesis. There is insufficient evidence to conclude that Factors A and B interact. d) Using a = 0.05, are the Factor A means different? Identify the hypotheses to test for Factor A. Choose the correct answer below. O A. HO HA = HB, H1: HA* MB OB. HO: HA1 MA2 =PA3, Hy: Not all Factor A means are equal OC. HO: HA1 =HA2 = HA3, H4: HA1 > HA2 MA3 OD. HO: HA1* HA2 * H3, H4: HA1 = PA2 = HA3 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. O A. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all Factor A means are equal. O B. Reject the null hypothesis. There is sufficient evidence to conclude that not all Factor A means are equal. OC. Do not reject the null hypothesis. There is sufficient evidence to conclude that the means differ. OD. It is inappropriate to draw a conclusion from this test because the Factors A and B interact.
e) Using a = 0.05, are the Factor B means different? Identify the hypotheses to test for Factor B. Choose the correct answer below. O A. Ho: 181 = PB2, Hy: Not all Factor B means are equal OB. Ho: HB1 = MB2 = HB3, Hy: Not all Factor B means are equal OC. HO HA = H, H: HATHB OD. Ho: PB1 * Ps2 * 83, H4: HB1 = 4B2 = 483 Find the p-value for Factor B. p-value = 1 (Round to three decimal places as needed.) Draw the appropriate conclusion for Factor B. Choose the correct answer below. O A. Do not reject the null hypothesis. There is sufficient evidence to conclude that the means differ. OB. Reject the null hypothesis. There is sufficient evidence to conclude that not all Factor B means are equal. OC. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all Factor B means are equal. OD. It is inappropriate to draw a conclusion from this test because the Factors A and B interact.