Assignment 10

# Assignment 10 - CE93-Engineering Data Analysis Prof. Joan...

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CE93-Engineering Data Analysis Prof. Joan Walker, Spring 2011 Assignment 10 Due 4/20/2011 at the beginning of class 1. The average speed of vehicles on a highway is being studied. a. Suppose observations on 50 vehicles yielded a sample mean of 65 mph. Assume that the standard deviation of vehicle speed is known to be 6 mph. Determine the two-sided 99% confidence intervals of the mean speed. b. In part (a), how many additional vehicles’ s peed should be observed such that the mean speed can be estimated to within ± 1 mph with 99% confidence? c. Suppose John and Mary are assigned to collect data on the speed of vehicles on this highway. After each person has separately observed 100 vehicles, w hat is the probability that John’s sample mean will exceed Mary’s sample mean by 2 mph? 2. The commuting times of a sample of 30 Berkeley students are measured and the average value observed is 22 minutes. Compute a 99 percent two-sided confidence interval for the mean commuting time if the population variance is not known, but the sample variance is 4.2 minutes

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## This note was uploaded on 06/02/2011 for the course CIV ENG 93 taught by Professor Staff during the Spring '08 term at Berkeley.

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Assignment 10 - CE93-Engineering Data Analysis Prof. Joan...

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