Which of the following conditions will create a biased estimator of a population parameter? The sampling distribution of the estimator is skewed to the left. The sampling distribution of the estimator is skewed to the left. The sampling distribution of the estimator is skewed to the right. The sampling distribution of the estimator is skewed to the right. The sampling distribution of the estimator is not the same shape as the distribution of the population parameter. The sampling distribution of the estimator is not the same shape as the distribution of the population parameter. The expected value of the estimator is not equal to the population parameter. The expected value of the estimator is not equal to the population parameter. The variability of the sampling distribution of the estimator is not equal to the variability of the population parameter.

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12-09-2022
Mathematics

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Which of the following conditions will create a biased estimator of a population parameter? The sampling distribution of the estimator is skewed to the left. The sampling distribution of the estimator is skewed to the left. The sampling distribution of the estimator is skewed to the right. The sampling distribution of the estimator is skewed to the right. The sampling distribution of the estimator is not the same shape as the distribution of the population parameter. The sampling distribution of the estimator is not the same shape as the distribution of the population parameter. The expected value of the estimator is not equal to the population parameter. The expected value of the estimator is not equal to the population parameter. The variability of the sampling distribution of the estimator is not equal to the variability of the population parameter.

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-09-22T15:46:28+02:00

The condition that will create a biased estimator of a population parameter is D. The expected value of the estimator is not equal to the population parameter.

What is a population parameter?

It should be noted that a parameter is a descriptive measure applied to a whole population. There are numerous population parameters exist. For instance, the population size (N) is one parameter.

For T(x) to be an unbiased estimator of population parameter, it is necessary that the expected value of the estimator is equal to population parameter.

Therefore, the condition that will create a biased estimator of a population parameter is that the expected value of the estimator is not equal to the population parameter.

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