Statistical Inference and Hypothesis Testing [ISS (Statistical Services) Statistics Paper II]: Questions 79 - 83 of 220

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Question 79

Question MCQ▾

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

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Question 80

Question MCQ▾

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

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Question 81

Question MCQ▾

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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Question 82

Question MCQ▾

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

Choices

Choice (4)Response

a.

Decrease

b.

Remains the same

c.

Increase

d.

All of the above

Edit

Question 83

Question MCQ▾

It is given that , , . then 90% Confidence Interval for is

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Edit