exam1sol_10 - STA 6166 – Exam 1 Solutions Version 1 –...

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Unformatted text preview: STA 6166 – Exam 1 Solutions Version 1 – Data in #2 are 12,16,20,14,18 1. 2. 3. 4. 5. False Mean = 16 Median = 16 SD = 3.16 (.90)4 = .6561 P(LA+ | HI+) = 664/748 = .8877 P(LA- | HI-) = 80/82 = .9756 TS = (2.8)2/(3.2)2 = 0.766 RR: (TS > 4.995 or TS < 1/(4.995)) Don’t Reject H0 6. TS = 0.70/1.51 = 0.46 RR: |TS| ≥ 2.1448 Don’t Reject H0 7. E = 2.0 ⇒ n ≥ 96.04 8. E(TA) = 300/2 = 150 TS = 30/17.32 = 1.73 9. 3.2 ± 1.03 ≡ (2.17 , 4.23) P-value = 2(.0418) = .0836 Yes 10. 24.2 ± 0.32 ≡ (23.88 , 24.52) (sqrt(2.75/21.92) = 0.36 , sqrt(2.75/3.816) = 0.85) Version 2 – Data in #2 are 16,20,24,18,22 1. 2. 3. 4. 5. False Mean = 20 Median = 20 SD = 3.16 (.85)6 = .377 P(LA+ | HI+) = 664/748 = .8877 P(LA- | HI-) = 80/82 = .9756 TS = (2.4)2/(3.2)2 = 0.5625 RR: (TS > 5.820 or TS < 1/(5.820)) Don’t Reject H0 6. TS = 1.50/1.51 = 0.994 RR: |TS| ≥ 2.1788 Don’t Reject H0 7. E = 3.0 ⇒ n ≥ 96.04 8. E(TA) = 300/2 = 150 TS = 15/17.32 = 0.87 9. 3.6 ± 0.92 ≡ (2.68 , 4.52) 10. 23.8 ± 0.40 ≡ (23.40 , 24.20) P-value = 2(.1922) = .3844 Yes (sqrt(10.88/30.191) = 0.60 , sqrt(10.88/7.564) = 1.20) ...
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