# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 78 - 82 of 222

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## Question number: 78

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

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: 79

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

Cramer-Rao

b.

Karl Pearson

c.

R. A. Fisher

d.

Neyman

## Question number: 80

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

1725.61 ± 222.45

b.

1725.61 ± 897.36

c.

18 ± 222.45

d.

1725.61 ± 110.69

## Question number: 81

» 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.

c.

d.

All of the above

## Question number: 82

» 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 , can have only positive values.

b.

The differentiation and integration of are interchangeable. In symbols

c.

The information function exists and is positive for all

d.

The derivative exists for all

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