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s2000exam1solac - Spring 2000 Exam 1 Solutions MSCI3710 No...

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Spring 2000 Exam 1 Solutions MSCI3710 No. Solution Version A Version C 1 The correct set of hypothesis for this test is Ho: 1 = 300 Ha: 1 1300 C B 2 Even though the sample size is less than 100, we use Z because the population standard deviation is known C A 3 Look p. 488 for the equation Z = (X- μ )/( σ / n), (297-300)/(15/ 35) = -1.18 Variance is 225, so the standard deviation is 15 D D 4 Critical value is -2.33 and the test statistic is – 2.00. Therefore, Fail to reject the null hypothesis, conclude there is insufficient evidence the boards are too long or too short. A C 5 Look p. 540 for the equation S 2 p = ((n 1 –1)S 2 1 + (N 2 –1)S 2 2 )/((n 1 -1)+(n 2 -1)) ((21-1)1.14 2 + (17-1)1.75 2 )/((21-1)+(17-1)) = 2.08 B E 6 Look under the t table (Appendix E-7) for degrees of freedom of 36 (21-1+17-1) then look under 0.05 significance level (it is a two tail test). The answer is 1.6883. E B 7 Look p.540 for the equation t = ((X 1 -X 2 ) – ( μ 1 - μ 2 ))/( ( S 2 p (1/n 1 +1/n 2 )) ((32.3-34.7)-(0-0))/( (1.78 2 (1/21+1/17)) = - 4.13 D C 8 Look under t table (Appendix E-7) across DF of 36, 1.89 falls in between significance level of 0.25 and 0.5. Since this is a two
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