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?
Calculate the work done during the process. Determine the mass of steam that has entered. Calculate the amount of heat transfer.
If a drinking water supply contains a sodium concentration of 0.050% Sodium by mass, how many liters of this water must be consumed to exceed the FDA recommendation of Sodium? Assume that the density of this water is 1.0 g/ml
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.
1. Students take an average of 45 minutes and standard deviation of 8 minutes to complete a certain statistics test. If a student is selected at random, what is the probability that the student takes more than 56 minutes to complete the test?
Consider a cylindrical nickel wire 1.9 mm in diameter and 3.2 × 104 mm long. Calculate its elongation when a load of 280 N is applied.
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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