# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 102 - 106 of 253

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## Question number: 102

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MCQ▾

### Question

Let be a random sample from the distribution with pdf

; , , the MLE of is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 103

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MCQ▾

### Question

The credit of inventing the method of moments for estimating the parameters goes to

### Choices

Choice (4)Response

a.

Neyman

b.

R. A. Fisher

c.

Karl Pearson

d.

Cramer-Rao

## Question number: 104

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MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

18 ± 222.45

b.

1725.61 ± 110.69

c.

1725.61 ± 222.45

d.

1725.61 ± 897.36

## Question number: 105

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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.

b.

c.

1.9±0.098

d.

All of the above

## Question number: 106

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MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

The information function exists and is positive for all

b.

The derivative exists for all

c.

The parameter space , can have only positive values.

d.

The differentiation and integration of are interchangeable. In symbols

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