3. If x1,x2, ... ,x, be a r.s from N(u, 1) ,show that -- is an unbiased estimator for u2 ? 1
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- Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.How should I choose between d and e- if d does not exist neither would e, right?show that if A occurs in a larger proportion of the cases where B is than wgere B is not, then B will occur in a larger proportion of cases where A is than where A is not.
- Suppose now that you have good arguments to say that the association between X andC (the unobserved confounding factor, here IQ at age 3), measured by γCX, is of a similarmagnitude as the association between X and A, measured by γAX — which you can computein your data (since A is observed). Would this new condition (γCX = γAX). Why?Suppose that a researcher is interested in the average standardized test score for fifth graders in a local school district. The fifth graders at a specific school would comprise a ___________ and their average test score would be a ___________.Show that: if A occurs in a larger proportion of cases where B is than where it is not, then B will occur in a larger proportion of cases where A is than where A is not.
- Also, what would be the P-value along with the To=__?1. For an estimator to be consistent, the unbiasedness of the estimator is: a) Necessary b) Sufficient c) Neither Necessary nor Sufficient d) None of theseThe average jump height of a normal man is said to be 18 inches. 15 normal males are selected and their jump height is measured.15.8 16.7 18.8 19.1 17.718.8 18.9 17.6 16.9 15.518.6 19.3 20.5 18.6 18.4In inches.With a 0.05 level of significance, what conclusion can you derive?
- (Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and CIf your null and alternative hypothesis are:H0:μ=59H0:μ=59H1:μ≠59H1:μ≠59Then the test is: right tailed two tailed left tailedIf your null and alternative hypothesis are:H0:μ=70H0:μ=70H1:μ<70H1:μ<70Then the test is: two tailed left tailed right tailed