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When the sampling distribution of a statistic centers exactly around the parameter it estimates we can say that the statistic is which of the following? Statistically significant Unbiased Equal to the parameter Normally distributed

Question

When the sampling distribution of a statistic centers exactly around the parameter it estimates we can say that the statistic is which of the following? Statistically significant Unbiased Equal to the parameter Normally distributed

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Solution

When the sampling distribution of a statistic centers exactly around the parameter it estimates, we can say that the statistic is Unbiased. This is because an unbiased statistic is one where the mean of its sampling distribution is equal to the true value of the parameter being estimated. This means that on average, the statistic is equal to the parameter it is estimating, hence it is unbiased.

Similar Questions

First covered in Section 3.1, the concept of a 'sampling distribution' is really important in Statistics. If the centre of a sampling distribution is located at the parameter it is estimating, then we call that sampling distribution __________.Question 9Select one:a.random & unbiasedb.biasedc.minimum variance

Which of the following best describes the sampling distribution of a statistic? A normal curve, for which probabilities are obtained by standardizing. The mechanism that determines whether the random sampling was effective. A distribution of all parameters from the population that is to be randomly sampled. A distribution of all possible summary statistics from a single random sample, from the same population. A distribution of a single statistic from repeated random samples of the same size, from the same population.

We say that a point estimator is unbiased if which of the following is true? Its sampling distribution is normal. The standard deviation of its sampling distribution decreases as the sample size increases. Its value is always equal to the parameter it estimates. Its sampling distribution is centered exactly at the parameter it estimates.

A distribution of a single statistic from repeated random samples of the same size from the same population refers to which of the following? Distribution of summary statistics The normal curve Distribution of population parameters Sampling distribution of a statistic Random sampling

Which of the following statements best describes the relationship between a parameter and a statistic?Question 17Select one:a.A parameter has a sampling distribution with the statistic as its mean.b.A parameter has a sampling distribution used to determine values a statistic may have in repeated samples.c.A statistic is used to estimate a parameter.d.A parameter is used to estimate a statistic.

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