Let X1,…,Xn∼i. i.d. N(0,σ2) , for some σ2>0 . Let σ2ˆ=1n∑i=1nX2i, andσ2˜=1n∑i=1n(Xi−X¯¯¯¯n)2. Argue that both proposed estimators σ2ˆ and σ2˜ below are consistent and asymptotically normal. Then, give their asymptotic variances V(σ2ˆ) and V(σ2˜) and decide if one of them is always bigger than the other. Hint: Use the multivariate Delta method. Also see Recitation 5 Inference for the Variance of a Gaussian distribution. V(σ2ˆ)=

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explanation:

c) should be the answer.

ca has a crystalline lattice with positive ions (since it is a metal, metals are positively charged) and electrons flow freely in its structure since the ca atoms have a large nuclear radius so the electrons are not tightly held, therefore the electrons can flow freely since they are not being highly attracted by the nucleus. moreover, one of the properties of metals are that they are conductors of electricity, thus proving ca is the element.

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explanation: