Statistical Inference and Hypothesis Testing [ISS (Statistical Services) Statistics Paper II]: Questions 1 - 7 of 220
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Question 1
Question MCQ▾
If and are two unbiased estimators of . Then
is a
Choices
Choice (4) | Response | |
---|---|---|
a. | Negatively biased estimator | |
b. | Positively biased estimator | |
c. | Unbiased estimator | |
d. | Biased estimator |
Question 2
Question MCQ▾
A function for estimating a parameter is called as:
Choices
Choice (4) | Response | |
---|---|---|
a. | Estimate | |
b. | Statistic | |
c. | Estimation | |
d. | Estimator |
Question 3
Question MCQ▾
If are normally distributed random variables with mean μ and variance , Then the unbiased estimator of is -
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | None of the above | |
d. | All of the above |
Question 4
Question MCQ▾
Suppose we have two consistent estimators and of a parameter , then is more efficient than if
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 5
Question MCQ▾
A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 6
Question MCQ▾
Let be a random sample from Bernoulli population with parameter , . If ,
Choices
Choice (4) | Response | |
---|---|---|
a. | The conditional distribution does not depend on | |
b. | Is Sufficient for | |
c. | Is not sufficient for | |
d. | Both a. and b. are correct |
Question 7
Question MCQ▾
If T is an unbiased estimator for , then is
Choices
Choice (4) | Response | |
---|---|---|
a. | Biased estimator of | |
b. | Unbiased estimator | |
c. | None of the above | |
d. | Question does not provide sufficient data or is vague |