ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 105 - 107 of 246

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Question number: 105

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The diameter of cylindrical rods is assumed to be normally distributed with a standard deviation of 0.91 cm. A sample of 25 rods has a mean diameter of 4.5 cm. 95 % confidence limits for population mean are:

Choices

Choice (4) Response

a.

1.9±0.098

b.

[4.12, 4.87]

c.

1.9±1.951029

d.

All of the above

Question number: 106

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Which of the following is not a regularity condition for Cramer-Rao Inequality?

Choices

Choice (4) Response

a.

The parameter space Θ , can have only positive values.

b.

The differentiation and integration of f(x;θ) are interchangeable. In symbols

dydθf(x;θ)dx=f(x;θ)θdx

c.

The information function I(θ)=E[θlogL]2 exists and 0<I(θ)< is positive for all θΘ

d.

The derivative θlogL(x;θ) exists for all θΘ

Question number: 107

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

As the level of confidence level decreases, the size of the corresponding interval will

Choices

Choice (4) Response

a.

Increase

b.

Decrease

c.

Remains the same

d.

Question does not provide sufficient data or is vague

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