Which of the following corresponds to the Central Limit Theorem? a. The expected
ID: 3291537 • Letter: W
Question
Which of the following corresponds to the Central Limit Theorem?
a. The expected value of the estimator is equal to the parameter.
b. The standard error of the estimator is equal to the standard deviation of the population.
c. As the sample size gets larger, the estimator’s value approaches the parameter’s value.
d. As the sample size gets larger, the sampling distribution of x-bar has a normal
distribution.
e. none of these.
Which of the following corresponds to the property of Consistency?
a. The expected value of the estimator is equal to the parameter.
b. The standard error of the estimator is equal to the standard deviation of the population.
c. As the sample size gets larger, the estimator’s value approaches the parameter’s value.
d. As the sample size gets larger, the sampling distribution of x-bar has a normal
distribution.
e. none of these.
Which of the following corresponds to the property of Unbiasedness?
a. The expected value of the estimator is equal to the parameter.
b. The standard error of the estimator is equal to the standard deviation of the population.
c. As the sample size gets larger, the estimator’s value approaches the parameter’s value.
d. As the sample size gets larger, the sampling distribution of x-bar has a normal
distribution.
e. none of these.
Explanation / Answer
Which of the following corresponds to the Central Limit Theorem?
d. As the sample size gets larger, the sampling distribution of x-bar has a normal
distribution.
option d) is correct
Which of the following corresponds to the property of Consistency?
c. As the sample size gets larger, the estimator’s value approaches the parameter’s value.
option C) is correct
Which of the following corresponds to the property of Unbiasedness?
a. The expected value of the estimator is equal to the parameter.
option A) is correct
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