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Vietnam National University – HCMC INTERNATIONAL UNIVERSITY F INAL -T ERM E XAMINATION SAMPLE TEST 03 Student ID: Name: 1. INSTRUCTIONS 2. This is an open book examination. 3. Calculator and dictionary are allowed. 4. Discussion and material transfer are strictly prohibited. PART I : (Please answer on the QUESTION SHEET) 1. VinaGame makes a sample to see rate of student playing game online. The sample of 200 students was conducted, with sample proportion of 67%. Construct the confident interval for with 90%. (3 points) a) [0.4523 ; 0.6453] b) [ 0.6048 ; 0.7352] c) [0.5153 ; 0.7532] 2. BigC CCO wants to estimate the population customer constructed with variance (assumed population is normal distributed) (3 points) a) [8.5432 ; 27.4535] b) [16.2435 ; 32.5430] c) [2.4387 ; 7.7412] 3. Calculate minimum sample require for the amount of money customer spend when coming to BigC. Known that population standard deviation money is spent is within 20,000VND. (assumed population is normal and = 95% ) (3 points) a) b) c) 1535.584 4. At Vung Tau beach, the authority claims that the average amount of money a Vietnamese spend is less than 1,200,000 VND/per. However WLCP (we love cheap price) claims that the average amount is more than 1,200,000 and decide to make a sample to test. The sample size Page 1 of 5
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Vietnam National University – HCMC INTERNATIONAL UNIVERSITY is 40 and yield ̅= 1,300,000 VND/per. Assumed = 50,000 VND and = 5% . Can the WLCP reject authority claim (3 points) a) YES REJECT b) NO CANNOT 5. Vina Banana believe that the amount of banana in a tree is normally distributed with mean = 500 banana/tree and standard deviation = 80. However, due to Global Warming, scientist says that productivity of banana tree is not and make a sample of 16 trees and have ̅= 535 for testing their
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