ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 129 - 133 of 246

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Question number: 129

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

If we increase the sample size and confidence interval at the same time then the length of the Confidence interval become

Choices

Choice (4) Response

a.

More

b.

Cannot be determined from the given information

c.

Remains the same

d.

Smaller

Question number: 130

» Statistical Inference and Hypothesis Testing » Complete Statistics

MCQ▾

Question

If f(x;θ) is a family of distributions and h(T) is any statistic such that [h(T)]=0 , then f(x;θ) is called as

Choices

Choice (4) Response

a.

Sufficient Statistics

b.

Efficient Statistics

c.

Complete Statistics

d.

Consistent Estimator

Question number: 131

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Consider the general form of confidence interval for the mean x¯Zα2σn .

In this expression x¯ is known as ………. and Zα2 is known as ……………….

Choices

Choice (4) Response

a.

Critical value, Standard Deviation

b.

Control limit, variance

c.

Point estimate, Standard Error

d.

All of the above

Question number: 132

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Unbiased estimator

b.

Consistent estimator

c.

Biased estimator

d.

Sufficient estimator

Question number: 133

» 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 T1a nd T2 are MVUE of γ1(θ) and γ2(θ) then α(T1)+β(T2) will be an MVUE of αγ1(θ)+βγ2(θ)

b.

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

c.

MVUE is unique

d.

All a. , b. and c. are correct

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