2. Derive an approximate expression for the MSE of the ratio estimator ŷURatio and discuss under what condition will this estimator be more precise as compared to the estimator U,SRS.
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- State the conditions in which the separate and combined ratio estimate methods are used instead of the simple ratio estimator ? (Answer should be correct with all the conditions)You have received a radioactive mass that is claimed to have a mean decay rate of at least 1 particle per second. If the mean decay rate is less than 1 per second, you may return the product for a refund. Let X be the number of decay events counted in 10 seconds. a) If the mean decay rate is exactly 1 per second (so that the claim is true, but just barely), what is P(X ≤ 1)? b) Based on the answer to part (a), if the mean decay rate is 1 particle per second, would one event in 10 seconds be an unusually small number? c) If you counted one decay event in 10 seconds, would this be convincing evidence that the product should be returned? Explain. d) If the mean decay rate is exactly 1 per second, what is P(X ≤ 8)? e) Based on the answer to part (d), if the mean decay rate is 1 particle per second, would eight events in 10 seconds be an unusually small number? f) If you counted eight decay events in 10 seconds, would this be convincing evidence that the product should be returned? Explain.Define the following twr5: A. Estimation B. Estimator C. Estimate And state the methods used in the Estimation of parameters in a point Estimate
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