Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 110 - 113 of 222

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Question number: 110

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If an estimator Tn of population parameter θ converges in probability to θ 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 n=50 , sample mean x¯=69 and sample standard deviation s=2 . Then 95 % Confidence Interval would be

Choices

Choice (4) Response

a.

[68.46, 69.54]

b.

[56.51, 68.6]

c.

[50, 69]

d.

All of the above

Question number: 113

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

It is given that x¯=10.3 , n=14 and s=2.6 . Then the 95 % Confidence Interval for μ is

Choices

Choice (4) Response

a.

[18.81, 11.79]

b.

[8.81, 10.79]

c.

[0.81, 1.79]

d.

[8.81, 11.79]

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