# Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 28 - 32 of 35

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## Question number: 28

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

MCQ▾

### Question

The estimate of the of a population having density function is

### Choices

Choice (4) Response

a.

b.

c.

α

d.

## Question number: 29

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

MCQ▾

### Question

In a random sampling from Normal population the maximum likelihood estimators of mean, ) is

### Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Unbiased and Consistent

d.

None of the above

## Question number: 30

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

MCQ▾

### Question

Let denote a random sample of size n from a uniform population with p. d. f.

. The MLE of is

### Choices

Choice (4) Response

a.

MLE is Unique

b.

MLE lies between

c.

MLE does not exists

d.

All of the above

## Question number: 31

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

MCQ▾

### Question

A sample of size n is drawn from each of the four a normal populations which have the same variance . the means of the four populations are , , and . The MLE of is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 32

» 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.

f Page