# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 77 - 81 of 222

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## Question number: 77

» 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: 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

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