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Rates of return (annualized) in...

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 α = .025, does the sample show that portfolio A has significantly greater variance in rates of return than portfolio B? (b) At α = .025, is there a significant difference in the means?Portfolio A Portfolio B

5.12 9.02

10.91 8.63

12.48 7.52

4.13 6.77

5.64 7.53

8.52 7.14

7.80 7.75

9.76 7.75

9.68 8.67

4.81 8.83

11.64 7.59

11.36 9.88(a-2) Specify the decision rule. (Round your answer to 2 decimal places.)

Reject the null hypothesis if Fcalc >

.

(a-3) Calculate the test statistic Fcalc. (Round your answer to 2 decimal places.)

Fcalc(b-1) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value.

H0: μ1 – μ2 = 0 vs. H1: μ1 – μ2 ≠ 0

H0: μ1 – μ2 ≥ 0 vs. H1: μ1 – μ2 < 0

H0: μ1 – μ2 ≤ 0 vs. H1: μ1 – μ2 > 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 <

or tcalc >

.

(b-3) Find the test statistic tcalc. (Round your answer to 2 decimal places.)

tcalc

5.12 9.02

10.91 8.63

12.48 7.52

4.13 6.77

5.64 7.53

8.52 7.14

7.80 7.75

9.76 7.75

9.68 8.67

4.81 8.83

11.64 7.59

11.36 9.88(a-2) Specify the decision rule. (Round your answer to 2 decimal places.)

Reject the null hypothesis if Fcalc >

.

(a-3) Calculate the test statistic Fcalc. (Round your answer to 2 decimal places.)

Fcalc(b-1) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value.

H0: μ1 – μ2 = 0 vs. H1: μ1 – μ2 ≠ 0

H0: μ1 – μ2 ≥ 0 vs. H1: μ1 – μ2 < 0

H0: μ1 – μ2 ≤ 0 vs. H1: μ1 – μ2 > 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 <

or tcalc >

.

(b-3) Find the test statistic tcalc. (Round your answer to 2 decimal places.)

tcalc

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