Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 176 - 179 of 222

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Question number: 176

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

Let x1,x2,..,xn be a random sample from N(μ,σ2)population . Then the sufficient estimator for μ is

Choices

Choice (4) Response

a.

ni=1nxi

b.

1ni=1nxi

c.

i=1nxi

d.

Question does not provide sufficient data or is vague

Question number: 177

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Degrees of freedom for the mean in case of large sample size (n30) is…………; and in case of for the small sample size (n<30) is……. .

Choices

Choice (4) Response

a.

n2 and n

b.

n1 and n1

c.

n1 and n

d.

n and n1

Question number: 178

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

In a class of consistent estimators for a parameter, which one will you consider as the most efficient estimator?

Choices

Choice (4) Response

a.

One whose mean and variance both are less than the other estimators.

b.

One whose sampling variance is less than the other estimators.

c.

One whose mean is less than the other estimators.

d.

Question does not provide sufficient data or is vague

Question number: 179

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

It is given that n=8 , x¯=0.2 , s=0.07 . Then the Confidence Interval at α=0.05 is given by

Choices

Choice (4) Response

a.

[0.144, 0.256]

b.

0.2±0.056

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

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