Rates of return (annualized) in two investment portfolios are compared over the last 12 quarters. They are considered similar in safety, but portfolio B is advertised as being "less volatile." (a) At a = .025, does the sample show that portfolio A has significantly greater variance in rates of return than portfolio B? (b) At a = .025, is there a significant difference in the means? Portfolio A 5.23 Portfolio B 8.96 10.91 8.60 12.49 7.61 4.17 6.60 5.54 7.77 8.68 7.06 7.89 7.68 9.82 7.62 9.62 8.71 4.93 8.97 11.66 7.71 11.49 9.91 picture Click here for the Excel Data File (a-1) Choose the appropriate hypotheses. Assume σA² is the variance of the Portfolio A and σg² is the variance of the Portfolio B. Ho: A2/0B2s1 versus H₁: 02/0B2>10 HO: OA = 1 versus H₁: σA 2²/0B² #1 Ho: A2/0B221 versus HOA²/0B² <1 H₁: (a-2) Specify the decision rule. (Round your answers to 2 decimal places.) Reject the null hypothesis if Fcalc> 3.54 (a-3) Calculate the test statistic Frale (Round your answer to 2 decimal places.) (a-2) Specify the decision rule. (Round your answers to 2 decimal places.) Reject the null hypothesis if Fcalc>3.54 (a-3) Calculate the test statistic Fcalc- (Round your answer to 2 decimal places.) Feals 9.86 (a-4) What is your conclusion? We reject the null hypothesis. (b-1) Choose the appropriate hypotheses. Assume d= company assessed value - employee assessed value. Ho: H1 H2O vs. H: H1-H20 Ho: H1-H220 vs. H1 H1-20 Ho HM-250 vs. 14: 19-12>0 (b-2) State the decision rule for .01 level of significance. (Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc 0.632 or calc>0.49 (b-3) Find the test statistic tcalc- (Round your answer to 2 decimal places.) tcalc 0.49 (b-4) What is your conclusion? We fail to reject the null hypothesis.