Suppose we have a sample of data values{x1,x2,x3,...,x100}

coming from a Normal distribution with mean

and variance2

. Furthermore, suppose we know that the sample meanx=5.2

and thati=1100(xix)2=207.5

.

Given this information, which of the following statements true:

Group of answer choices

the estimate for the population using the method of moments is 5.2.

The maximum likelihood estimate for the population variance for this data is207.599

.

The Minimum Variance Unbiased Estimate for the population mean is 5.2.

An unbiased estimate for the population standard deviation is207.599

The maximum likelihood estimate for the population variance for this data is 2.075

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Question 2

2pts

The principle of Minimum Variance Unbiased Estimation states that

When choosing between different estimators, we should choose the estimator with minimum variance.

Group of answer choices

True

False

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Question 3

2pts

When choosing estimators for a given population parameter, it is always the best strategy to use a Minimum Variance Unbiased Estimator.

Group of answer choices

True

False

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Question 4

2pts

Suppose {3, 7, 11} is a sample coming from a exponential distribution. The maximum likelihood estimate for the parameter

is

Group of answer choices

None of the choices.

0.154

7

0.143