Week_8_Practice_Problems

Week_8_Practice_Problems - Week 8 Practice Problems Here we...

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Week 8 Practice Problems Here we have a bunch of problems all involving confidence intervals with a prediction interval tossed in for fun. 1. Flaws occur in glass sheet manufactured in high volume for automobile windshields. In an experiment to try to reduce the number of flaws, the manufacturer varies the temperature of the molten glass before it is poured into a mould. Thirty windshields are produced at each of two temperatures and the number of flaws is counted The data are: temperature 1 temperature 2 1 1 2 0 0 0 0 2 1 1 0 0 0 0 1 1 0 0 0 2 0 0 1 0 0 1 2 4 4 0 2 3 1 0 1 1 1 1 1 1 0 3 0 2 1 0 2 4 2 1 3 1 1 0 1 2 1 0 0 1 Suppose that we can model the number of flaws in each windshield by a Poisson random variable with mean 1 λ for temperature 1 and 2 for temperature 2. a) Which technique for producing a confidence interval will work here? b) Find a 95% confidence interval for 12 θ λλ = . Be sure to include all of the steps since this is a practice exercise. c) Based on the confidence interval, does temperature effect the number of flaws?
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This note was uploaded on 03/20/2011 for the course STATISTICS 231 taught by Professor Mckay during the Spring '10 term at Waterloo.

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Week_8_Practice_Problems - Week 8 Practice Problems Here we...

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