Estimator of the population total
Suppose probability samples of size n=2 are selected from {1, 2, 3, 4} with probabilities d1=.4, d2=.4, d3=.1, and d4=.1. Demonstrate that tau_hat is still an unbiased estimator of the population total, but its variance is 81.25.
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What is the Probability that the selected screw came from Lot 1? What is the Probability that the selected screw was defective? If the screw was defective what is the probability that it came from Lot 2?
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Given that the elastic modulus and Poisson's ratio of the metal are 64.0 GPa and 0.32, respectively, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress.
Suppose probability samples of size n=2 are selected from {1, 2, 3, 4} with probabilities d1=.4, d2=.4, d3=.1, and d4=.1. Demonstrate that tau_hat is still an unbiased estimator of the population total, but its variance is 81.2
Estimate the mean and standard deviation of the time-to-failure for Network A, the time-to-failure for Network B.
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The pipe carries oil, with a density of 850 kg/ m3, at a rate of 0.45 m3/sec. Compute the magnitude and direction of the force acting on the turn.
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