25. A small independent stock broker has created four sector portfolios for her clients. Each portfolio always has five stocks that may change from year to year. The volatility of each stock is recorded for each year. Are the main effects significant? 24.9 MARATOARE 2013 17.5 23.0 22.1 19.5 21.4 21.5 25.1 16.0 26.0 20.2 21.5 13.9 21.8 13.3 20.6 17.9 21.1 19.5 19.4 2015 24.3 21.8 25.5 24.9 30.6 22.4 29.0 28.0 24.1 21.6 25.6 27.4 27.5 21.3 25.7 24.2 20.2 28.0 2017 20.5 23.5 21.8 22.7 19.1 23.5 28.6 19.5 25.6 27.8 21.7 17.3 17.3 17.1 21.7 27.8 25.7 19.8 24.9 28.5 22.9 17.2 Based on these sample data and using a significance level of 0.01, what conclusions should be reached? 1. What test should you run? 2. How many blocks were used in this study? 3. How many populations (treatments) are involved in this test? 4. Is there a significant interaction between sector and year? Use a significance level of 0.01 a. What are your hypothesis statements? b. What is your critical value? c. What is your test statistic? d. What is your decision regarding the null hypothesis? Interpret the result. 5. Compare the mean difference in volatility by sector: Use a significance level of 0.01 a. What are your hypothesis statements? 5a. HO: HI: b. What is your critical value? 5b. c. What is your test statistic? Sc. d. What is your decision regarding the null hypothesis? Interpret the result. 6. Compare the mean difference in volatility by year: Use a significance level of 0.01 a. What are your hypothesis statements? 6a. HO: HI: b. What is your critical value? 6b. c. What is your test statistic? d. What is your decision regarding the null hypothesis? Interpret the result.