ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 131 - 135 of 253

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Question 131

Question

MCQ▾

Consider the general form of confidence interval for the mean .

In this expression is known as … and is known as …

Choices

Choice (4)Response

a.

Critical value, Standard Deviation

b.

Point estimate, Critical Value - standard error

c.

Control limit, variance

d.

All of the above

Question 132

Question

MCQ▾

If the expected value of an estimator is not equal to its parametric function , it is said to be a

Choices

Choice (4)Response

a.

Sufficient estimator

b.

Unbiased estimator

c.

Consistent estimator

d.

Biased estimator

Question 133

Question

MCQ▾

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.

MVUE is unique

c.

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

d.

All a., b. and c. are correct

Question 134

Question

MCQ▾

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

Choices

Choice (4)Response

a.

Consistent

b.

Unbiased

c.

Sufficient

d.

Efficient

Question 135

Question

MCQ▾

Which of the following properties of MLE is not correct?

Choices

Choice (4)Response

a.

MLE is always unique

b.

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

c.

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

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.