IEE380Summer09Q8_Solutions

IEE380Summer09Q8_Solutions - IEE 380 Summer 2009 Quiz #8A...

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IEE 380 Summer 2009 Name: _____________________________ Quiz #8A 1. The time between arrivals of customers to an ATM, T ,is a random variable that is known to be exponentially distributed with a mean of ½ hour. Show the pdf of T (equation, not graph). 2. A certain product’s weight is normally distributed. A sample of 5 items from this distribution is taken: 1 lb, 2 lb, 1.5 lb, 1.6 lb. and 1.8 lb. Is there evidence that the variance of this population is < 2 lb.? Use α = .01. H 0 : σ 2 = 2 H 1 : σ 2 < 2 0 for t 2 ) ( 2 = - t e t f ( 29 ( 29 . H reject to Fail not. is It . if H reject d We' 30 . 62 . 1 35 . 377 . 4 1 0 2 3 , 01 . 1 2 0 0 2 4 , 01 . 1 2 2 0 2 2 0 - - < = = = - = χ σ s n
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IEE 380 Summer 2009 Name: _____________________________ Quiz #8B 1. A certain product’s weight is normally distributed. A sample of 5 items from this distribution is taken: 1 lb, 2 lb, 1.5 lb, 1.6 lb. and 1.8 lb. Is there evidence that the variance of this population is < .35 lb.? Use α = .01. H 0 : σ 2 = 2 H 1 : σ 2 < 2 2. The time between arrivals of customers to an ATM, T, is a random variable that is known to be exponentially distributed with a mean of ½ hour. Show the CDF of T (equation, not graph). 0
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This note was uploaded on 12/11/2009 for the course CSE IEE taught by Professor Chattin during the Summer '09 term at ASU.

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IEE380Summer09Q8_Solutions - IEE 380 Summer 2009 Quiz #8A...

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