MidTermTest1VersionASolution

MidTermTest1VersionASolution - CHEN3010 Version A Applied...

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CHEN3010 Applied Data Analysis Fall 2004 Version A Mid Term Test 1 Name:____________________ Answer each question on its own sheet and use the reverse side if necessary. Staple all seven questions together, in the right order, if you separate the question sheets. Open Book, Notes, and Workshops. Calculators allowed, but you can not borrow one. 75 minutes, 75 points, 7 problems, 3 different versions Problem 1 (10 points) The net weight of coffee filter bags is normally distributed with a mean of 22.7g and standard deviation of 0.25g. What is the probability of the mean of 25 bags is less than 22.6 g? Solution: The MEAN X () of 25 bags is also normally distributed with an expected value of 22.7 g and standard deviation of 025 25 . g, according to the Central Limit Theorem. i.e. σ X n g == = 25 005 . . PX g PZ EX X (. ) .( ) .. . . <= < =< = 22 6 22 6 22 6 22 7 20 022750
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CHEN3010 Applied Data Analysis Fall 2004 Version A Mid Term Test 1 Name:____________________ Problem 2 (10 points) Boulder Daily Camera reported a story last Friday that trained dogs selected the single urine sample of a bladder cancer patient from among six other control (non-cancerous) samples correctly 22 times out of 54 attempts. What is the probability of this result if selection was random? Solution: The probability of randomly selecting one cancerous sample from six other non- cancerous samples is 1 7 0 142857 = .
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This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

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MidTermTest1VersionASolution - CHEN3010 Version A Applied...

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