This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ISMT111 Business Statistics (L1) Final exam May 27, 2006 Directions 1. There are 6 pages in this examination paper (including this). Check to make sure you have a complete set and notify the invigilator immediately if part of it is missing. 2. Key formulas and statistical tables ( z and t ) are provided separately. 3. Calculator may be used in this examination. 4. You are given 3 hours to complete this examination. Do not begin until you are told to do so. 1 1. (22pts) American International Paper Corporation must purchase a new papermaking machine. The company must choose between two machines, machine 1 and machine 2. Since the machines produce paper of equal quality, the company will choose the machine that produces the most paper in a onehour period (measured in rolls of paper per hour). Two designs are adopted to compare the two machines. ( Design A ): Five randomly selected machine operators produce paper for one hour using machine 1, and another &ve randomly selected machine operators produce paper for one hour using machine 2 (there are a total of 10 machine operators). The following results are obtained. Hourly production of paper Machine 1 45 47 45 44 44 Machine 2 42 44 43 41 43 (a) At the 0.05 level of signi&cance, can you conclude that the average hourly production from two machines are di/erent? (b) What is the pvalue for the testing in (a) (c) What assumption(s) did you make in doing (a) (d) Construct a 95% con&dence interval for & 1 & & 2 ( Design B ): Suppose, instead of using 10 machine operators, the company decides to randomly select &ve machine operators. Each produces paper for one hour using machine 1, then produces paper for one hour using machine 2. The data is shown below: Hourly production of paper Operator: 1 2 3 4 5 Machine 1 45 47 45 44 44 Machine 2 42 44 43 41 43 e. At the 0.05 level of signi&cance, can you conclude that the average hourly production from two machines are di/erent? f. What is the pvalue for the testing in (e) g. What assumption(s) did you make in doing (e) h. Construct a 95% con&dence interval for & 1 & & 2 2 2. (14pts) The State Environmental Protection Agency (SEPA) is responsible for monitoring the air pollution level for a large western metropolis. The air pollution level is considered to be acceptable (or safe) if the mean pollution level is at or below a reading of 100 milligrams of pollution per cubic yard...
View
Full
Document
This note was uploaded on 02/27/2010 for the course ISOM ISOM111 taught by Professor Anthonychan during the Spring '09 term at HKUST.
 Spring '09
 AnthonyChan

Click to edit the document details