Refer to the Earthquake Engineering and Engineering Vibration (March 2013) study of the structural damage to a

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Refer to the Earthquake Engineering and Engineering Vibration (March 2013) study of the structural damage to a three-story building caused by seismic ground noise, Exercise 5.33. Recall that the acceleration Y (in meters per second-squared) of the seismic ground noise was modeled using a normal probability distribution. Assume  μ = .5 and unknown σ. Consider a random sample of n = 16 acceleration measurements from this population, and let Y̅ represent the sample mean and S the sample standard deviation.

a. Describe the sampling distribution of the statistic, T = 4(Y̅ - .5)/S.

b. Suppose the sample standard deviation is S = .015. Use this value, the result, part a, and statistical software to find the exact probability that the sample mean acceleration is less than .52 meters per sec2.  


Data from Exercise 5.33

Seismic ground noise describes the persistent vibration of the ground due to surface waves generated from traffic, heavy machinery, winds, ocean waves, and earthquakes. A group of civil engineers investigated the structural damage to a three-story building caused by seismic ground noise in Earthquake Engineering and Engineering Vibration (March, 2013). The methodology involved modeling the acceleration Y (in meters per second-squared) of the seismic ground noise using a normal probability distribution.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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