# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 218 - 222 of 253

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## Question 218

### Question

MCQ▾

An estimator is considered to be the best if its distribution is

### Choices

Choice (4)Response

a.

Concentrated about the true parameter value

b.

Continuous

c.

Normal

d.

Discrete

## Question 219

### Question

MCQ▾

If a statistic provides as much information as the random variable could provide, Then T is a ________ Statistic

### Choices

Choice (4)Response

a.

Sufficient

b.

Consistent

c.

Unbiased

d.

Efficient

## Question 220

### Question

MCQ▾

Confidence intervals for the parameters , of the Normal distribution having density function , in case of unknown variance , is given by

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question 221

### Question

MCQ▾

What properties of estimators are usually held by Maximum Likelihood estimators (MLE՚s) ?

### Choices

Choice (4)Response

a.

A MLE is not necessarily unique

b.

A MLE may not be uniformly minimum variance unbiased estimator (UMVUE)

c.

A MLE is not necessarily Unbiased

d.

All a., b. and c. are correct

## Question 222

### Question

MCQ▾

In estimating the parameters of a linear function, most commonly used method of estimation is

### Choices

Choice (4)Response

a.

Method of minimum Variance

b.

Method of minimum chi-square method

c.

Method of moments

d.

Method of Least squares