Statistical Inference and Hypothesis Testing [ISS (Statistical Services) Statistics Paper II]: Questions 8 - 12 of 220
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Question 8
Question MCQ▾
A formula or rule used for estimating the parameter is called:
Choices
Choice (4) | Response | |
---|---|---|
a. | Estimation | |
b. | Statistic | |
c. | Estimate | |
d. | Estimator |
Question 9
Question MCQ▾
In sampling from a population, the sample mean is a consistent estimator of
Choices
Choice (4) | Response | |
---|---|---|
a. | + 1 | |
b. | ||
c. | ||
d. | All of the above |
Question 10
Question MCQ▾
Let be random sample from a population with mean . Then is
Choices
Choice (4) | Response | |
---|---|---|
a. | Unbiased estimator of | |
b. | Unbiased estimator of | |
c. | Biased estimator of | |
d. | Question does not provide sufficient data or is vague |
Question 11
Question MCQ▾
Let be a random sample of size n = 3 from a distribution with mean and variance . If , and . Which one is the best estimator in terms of variance?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | All of the above |
Question 12
Question MCQ▾
Let be a random sample of size n with mean and variance Then which of the following statements is true?
Choices
Choice (4) | Response | |
---|---|---|
a. | The sample mean and sample variance are biased estimators | |
b. | The sample mean and sample variance are unbiased estimators of the mean and variance of the underlying distribution. | |
c. | Sample mean is unbiased estimator and sample variance is biased estimator. | |
d. | None of the above |