(ISOM111)[2000](f)final~2106^_10356

(ISOM111)[2000](f)final~2106^_10356 - 1 The Hong Kong...

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Unformatted text preview: 1 The Hong Kong University of Science and Technology ISMT111 – Business Statistics, Fall 2000 All Section Final Exam 1a) Let m be the mean sales of the new computer per week. 45 : H = m 45 : H 1 < m 1b) test statistic n s x m- = t 16 3 45 43.5- = 2- = degree of freedom 15 1 16 =- = P-value is about 0.03. \ H is accepted at 2.5% level of significant. 1c) test statistic 16 3 45 43.5- = z 2- = P-value = 0.0228. \ H is rejected at 2.5% level of significance. 2) Let n be the sample size that the statistician should choose. ) p 1 ( p 05 . 96 . 1 n 2- ´ ÷ ø ö ç è æ = ) p 1 ( p 64 . 1536- ´ = 2a) 0.5) 0.5(1 1536.64- ´ = n 16 . 384 = 385 = 2 2b) 0.275) 0.275(1 1536.64- ´ = n 37 . 306 = 307 = 3a) The pooled sample variance is 2 n n s ) 1 n ( s ) 1 n ( s 2 1 2 2 2 2 1 1 2 p- +- +- = 2 10 11 2 ) 1 10 ( 1 . 2 ) 1 11 ( 2 2- + ´- + ´- = 2 0533 . 2 = \ 0533 . 2 = p s 3b) Let 1 m and 2 m be the mean car mileages for leaded and unleaded gas respectively....
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(ISOM111)[2000](f)final~2106^_10356 - 1 The Hong Kong...

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