# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 109 - 112 of 222

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

## Question number: 109

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

Which of the following results are true for Minimum Variance Unbiased Estimator (MVUE) -

### Choices

Choice (4) Response

a.

If nd are MVUE of and then will be an MVUE of

b.

The correlation coefficient between a most efficient estimator and any other estimator with efficiency is .

c.

MVUE is unique

d.

All a. , b. and c. are correct

## Question number: 110

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

### Question

If an estimator of population parameter converges in probability to as n tends to infinity is said to be

### Choices

Choice (4) Response

a.

Efficient

b.

Consistent

c.

Unbiased

d.

Sufficient

## Question number: 111

» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators

MCQ▾

### Question

Which of the following properties of MLE is not correct?

### Choices

Choice (4) Response

a.

If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators.

b.

If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it.

c.

MLE is always unique

d.

When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal.

## Question number: 112

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

f Page