Examine the following sample data and estimate the variance of the population from which it was drawn: 22, 18, 17, 20, 21单项选择题

A

1.9

B

2.1

C

5.0

D

4.3

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Consider a Normal population with mean 𝜇 and variance 𝜎 2 < ∞ . We collect a sample of 𝑇 = 3 independent and identically distributed observations 𝑥 = ( 7 , 10 , 4 ) In class we have shown that the standardized log-likelihood of the sample for this case is 1 𝑇 log ( 𝐿 ( 𝑥 , 𝜇 , 𝜎 2 ) ) = − 1 2 log ( 2 𝜋 ) − 1 2 log ( 𝜎 2 ) − 1 𝑇 ∑ 𝑡 = 1 𝑇 ( 𝑥 𝑡 − 𝜇 ) 2 2 𝜎 2 . Then the Maximum Likelihood estimate of the variance 𝜎 2 is:

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