hw10 - ORIE 360/560 Fall 2007 Assignment 10 Due Tuesday,...

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Unformatted text preview: ORIE 360/560 Fall 2007 Assignment 10 Due Tuesday, Nov. 27 at 2:00 pm Problem 1. Consider a normal ( , 2 ) population distribution with the value of 2 known. (a) What is the confidence level for the interval x 2 . 81 / n ? (b) What is the confidence level for the interval x 1 . 44 / n ? (c) What value of z / 2 gives a 99.7% confidence level in the confidence interval formula? (d) How large a sample size (i.e., what value of n ) is necessary for a 95% confidence level confidence interval of width 1? Of width 1/2? Of width 2? (e) What value of n is necessary for a confidence interval of width 1 at the 90% confidence level? At the 99% confidence level? At the 99.9% confidence level? Problem 2. Suppose you are a statistical consulatant for a large consulting firm. In your job, you have to report a whole lot of 95% confidence intervals. In fact, during the month of August, you reported 1,000 such confidence intervals....
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This note was uploaded on 11/12/2008 for the course ORIE 360 taught by Professor Ehrlichman during the Fall '07 term at Cornell University (Engineering School).

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