Rates of return (annualized) in two investment portfolios are compared over the last 12 quarters. They are considered similar in safety, but portfolioBis advertised as being "less volatile." (a) At= .025, does the sample show that portfolioAhas significantly greater variance in rates of return than portfolioB? (b) At= .025, is there a significant difference in the means?

Portfolio A	Portfolio B
5.20	8.88
10.81	8.54
12.40	7.69
4.25	6.46
5.50	7.76
8.53	7.05
7.70	7.62
9.77	7.67
9.67	8.62
4.93	8.99
11.68	7.62
11.37	9.83

(a-1)Choose the appropriate hypotheses. Assume_A²is the variance of the Portfolio A and_B²is the variance of the Portfolio B.

multiple choice 1

• H₀:_A²/_B² 1 versusH₁:_A²/_B²> 1
• H₀:_A²/_B²= 1 versusH₁:_A²/_B² 1
• H₀:_A²/_B² 1 versusH₁:_A²/_B²< 1

(a-2)Specify the decision rule.(Round your answer to 2 decimal places.) Reject the null hypothesis ifF_calc> . (a-3)Calculate the test statisticF_calc.(Round your answer to 2 decimal places.) F_calc (a-4)What is your conclusion? We (Click to select) fail to reject reject the null hypothesis. (b-1)Choose the appropriate hypotheses. Assumed= company assessed value - employee assessed value. multiple choice 3

• H₀:₁-₂= 0 vs.H₁:₁-₂ 0
• H₀:₁-₂ 0 vs.H₁:₁-₂< 0
• H₀:₁-₂ 0 vs.H₁:₁-₂> 0

(b-2)State the decision rule for 0.025 level of significance.(Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis ift_calc< ort_calc> . (b-3)Find the test statistict_calc.(Round your answer to 2 decimal places.) t_calc (b-4)What is your conclusion? We (Click to select) reject fail to reject the null hypothesis.

rev: 10_13_2020_QC_CS-234567