Studentized range table (0.01 level) Studentized range table (0.05 level) CRITICAL VALUES OF THE STUDENTIZED RANGE (0.01
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Studentized range table (0.01 level) Studentized range table (0.05 level) CRITICAL VALUES OF THE STUDENTIZED RANGE (0.01
Retirement ages for four countires according to g Women Country A Country B Country C Country 67 63 61 56 73 64 62 71 78 67 55 48 74 66 68 52 62 65 60 57 77 60 65 57 76 69 63 59 68 65 68 63 80 67 56 57 77 66 71 58 71 67 67 65 69 76 56 58 Men
a) Using a = 0.01, is there significant interaction between the country and the gender? Identify the hypotheses for the interaction between the country and the gender. Choose the correct answer below. O A. Họ HC = G, H, Uc * HG OB. Ho: Country and gender do interact, Hy: Country and gender do not interact 0C. Họ Hc * HG, H, Uc - PG OD. Ho: Country and gender do not interact, Hy: Country and gender do interact Find the p-value for the interaction between the country and the gender. p-value = 1 (Round to three decimal places as needed.) Draw the appropriate conclusion for the interaction between the country and the gender. Choose the correct answer below. O A. Do not reject the null hypothesis. There is insufficient evidence to conclude that the means differ. 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 country and the gender interact. OD. Reject the null hypothesis. There is sufficient evidence to conclude that the country and the gender interact. b) Using two-way ANOVA and a = 0.01, does the country have an effect on the retirement age? Identify the hypotheses to test for the effect of the country. Choose the correct answer below. O A. HO HA #HB*c* Hp, H: HA = HB = Pc = HD OB. HO MC = HG, H1: c*PG OC. Ho: PA = M = Pc = Ho, Hy: Not all country means are equal OD. HO HA = HB = Pc = MD. HAHAHB >c>HD
Find the p-value for the effect of the country. p-value =(Round to three decimal places as needed.) Draw the appropriate conclusion for the effect of the country. Choose the correct answer below. O A. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all country means are equal. O B. Reject the null hypothesis. There is sufficient evidence to conclude that not all country 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 analyze because the country and the gender interact. c) Using two-way ANOVA and a = 0.01, does the gender of the retiree have an effect on the retirement age? Identify the hypotheses to test for the effect of gender. Choose the correct answer below. O A. Ho Hw = HM, Hy: Not all gender means are equal 0 B. Họ Pc = "G, HN: Pc+UG OC. Ho HwHM, H: HW = HM OD. HO HA = 18 = Pc = Hp, Hy: Not all gender means are equal Find the p-value for the effect of gender. p-value = (Round to three decimal places as needed.) Draw the appropriate conclusion for the effect of gender. Choose the correct answer below. O A. Reject the null hypothesis. There is insufficient evidence to conclude that the means differ. OB. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all gender means are equal. O C. Reject the null hypothesis. There is sufficient evidence to conclude that not all gender means are equal. OD. It is inappropriate to analyze because the country and the gender interact.
( d) Using a = 0.01, if warranted, determine which means are significantly different. Are the means for Country A and Country B significantly different? O A. Yes OB. No OC. The comparison is unwarranted because there is insufficient evidence to conclude that not all country means are equal. OD. The comparison is unwarranted because the country and the gender interact. Are the means for Country A and Country C significantly different? O A. Yes OB. No OC. The comparison is unwarranted because there is insufficient evidence to conclude that not all country means are equal. OD. The comparison is unwarranted because the country and the gender interact. Are the means for Country A and Country D significantly different? O A. Yes O B. No OC. The comparison is unwarranted because there is insufficient evidence to conclude that not all country means are equal. OD. The comparison is unwarranted because the country and the gender interact. Are the means for Country B and Country C significantly different? O A. Yes OB. No OC. The comparison is unwarranted because there is insufficient evidence to conclude that not all country means are equal. OD. The comparison is unwarranted because the country and the gender interact.
Are the means for Country B and Country D significantly different? O A. No OB. Yes OC. The comparison is unwarranted because there is insufficient evidence to conclude that not all country means are equal. . OD. The comparison is unwarranted because the country and the gender interact Are the means for Country C and Country D significantly different? OA. No OB. Yes OC. The comparison is unwarranted because there is insufficient evidence to conclude that not all country means are equal. OD. The comparison is unwarranted because the country and the gender interact. D. Are the means for women and men significantly different? A. No, because there is sufficient evidence to conclude that not all gender means are equal. OB. No, because there is insufficient evidence to conclude that not all gender means are equal. OC. Yes, because there is sufficient evidence to conclude that not all gender means are equal. OD. The comparison is unwarranted because the country and the gender interact . e) Construct an interaction plot for country and gender. Choose the correct plot below. OA OB. Interaction Between Country and Gender Interaction Between Country and Gender @ Ос. Interaction Between Country and Gender 754 Women Men 70- 75+ Women Men Q 757 Women Men Q Q 70- 70- 65- 65 65 60- 60- 60- 55 55 55 A А D A Ć Country Country Country