ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 134 - 137 of 246

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Question number: 134

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Efficient

b.

Consistent

c.

Unbiased

d.

Sufficient

Question number: 135

» 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: 136

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 137

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

It is given that Equation , Equation and Equation . Then the 95 % Confidence Interval for Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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