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Unformatted text preview: C HAPTER 12 A NALYSIS OF V ARIANCE 1. 9.01 from Appendix G 2. 9.78 3. Reject H o if F > 10.5, where df in numerator are 7 and 5 in the denominator. F = 2.04, found by: 2 2 1 2 2 2 (10) 2.04 (7) s F s = = = Do not reject H o . There is no difference in the variations of the two populations. 4. Reject H o if F > 9.15, where df in numerator are 4 and 6 in the denominator. F = 2.94, found by: 2 2 1 2 2 2 (12) 2.94 (7) s F s = = = Do not reject H o . There is no difference in the variations of the two populations. 5. H o : 2 2 1 2 σ σ = H 1 : 2 2 1 2 σ σ Reject H o where F > 3.10 (3.10 is about halfway between 3.14 and 3.07) F = 1.44, found by 2 2 (12) 1.44 (10) F = = Do not reject H o . There is no difference in the variations of the two populations. 6. H o : 2 2 1 2 σ σ H 1 : 2 2 1 2 σ σ Reject H o when F > 3.68 F = 1.24, found by 2 2 (3.9) 1.24 (3.5) F = = Do not reject H o . The variations in the stocks is the same. 7. a. H o : μ 1 = μ 2 = μ 3 H 1 : Treatment means are not all the same b. Reject H o if F > 4.26 c & d Source SS df MS F Treatment 62.17 2 31.08 21.94 Error 12.75 9 1.42 Total 74.92 11 e. Reject H o . The treatment means are not all the same. 8. a. H o : μ 1 = μ 2 = μ 3 H 1 : Treatment means are not all the same b. Reject H o if F > 3.89 c & d Source SS df MS F Treatment 70.40 2 35.20 5.12 Error 82.53 12 6.88 Total 152.93 14 e. Reject H o . The treatment means are not all the same. Chapter 12 109 9. H o : μ 1 = μ 2 = μ 3 H 1 : Treatment means are not all the same Chapter 12 110 Reject H o if F > 4.26 Source SS df MS F Treatment 276.50 2 138.25 14.18 Error 87.75 9 9.75 Reject H o . The treatment means are not all the same. 10. H o : μ 1 = μ 2 = μ 3 H 1 : Treatment means are not all the same Reject H o if F > 3.89 Source SS df MS F Treatment 22.93 2 11.4560 5.7325 Error 24.00 12 2.0 Reject H o 5.7325 > 3.89. The mean number of hours spent on a terminal are not equal. 11. a. H o : μ 1 = μ 2 = μ 3 H 1 : Treatment means are not all the same b. Reject H o if F > 4.26 c. SST = 107.20 SSE = 9.47 SS total = 116.67 d. Source SS df MS F Treatment 107.20 2 53.600 50.96 Error 9.47 9 1.052 Total 116.67 11 e. Since 50.96 > 4.26, H o is rejected. At least one of the means differ. f. 1 2 1 2 ( ) (1/ 1/ ) (9.667 2.20) 2.262 1.052(1/ 3 1/ 5) 7.467 1.69 + + X X t MSE n n [5.777, 9.157] Yes, we can conclude that the treatments 1 and 2 have different means. 12. a. H o : μ 1 = μ 2 = μ 3 H 1 : Treatment means are not all the same Chapter 12 111 b. Reject H o if F > 3.47 c. SST = 46.96 SSE = 53.00 SS total = 99.96 d. Source SS df MS F Treatment 46.96 2 23.48 9.30 Error 53.00 21 2.52 Total 99.96 23 e. Since 9.30 > 3.47, H o is rejected. At least one of the means differ....
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This note was uploaded on 04/25/2008 for the course ECON 211 taught by Professor Haley during the Spring '08 term at Wisc Oshkosh.
 Spring '08
 HALEY

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