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Stat 231 Exam 2 S10

# Stat 231 Exam 2 S10 - Stat 231 Exam 2 Spring 2010 I have...

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1 Stat 231 Exam 2 Spring 2010 I have neither given nor received unauthorized assistance on this exam. ________________________________________________________ Name Signed Date _________________________________________________________ Name Printed

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2 1. US 5 cent pieces have weights that are roughly normal with mean 5.00 g and standard deviation .06 g . What is the probability that 4 n of these coins taken from my pocket have a total weight of more than 20.06 g? (Hint: If it helps, express this probability in terms of the sample mean weight of the 4 n coins.) 2. An object of mass M spinning in a plane around a point a distance R away from its center of mass has rotational inertia 2 I MR If M is modeled as random with mean 1 kg and standard deviation .01 kg and R is modeled as random (and independent of M ) with mean 1 m and standard deviation .01 m , what are an approximate mean and standard deviation for I ? (It's actually possible to find exact values for these, but if you don't see how to get exact values, provide approximate values.) I _______________ I _______________ 10 pts 10 pts
3 3. Drill depths in a sample of 15 n pump housings had 1.2909 inch x and .0007 inch s and an approximately normal relative frequency histogram. a)

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Stat 231 Exam 2 S10 - Stat 231 Exam 2 Spring 2010 I have...

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