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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

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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

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Solution

The correct answer is a. random & unbiased.

When the center of a sampling distribution is located at the parameter it is estimating, it means that the estimator is unbiased. An unbiased estimator is one where the expected value of the estimator is equal to the parameter it is estimating. This means that on average, the estimator is correct. The term 'random' refers to the fact that each sample is independently chosen and has a certain probability of being selected.

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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

In statistics, a sampling distribution refers to:A.A) The process of selecting a representative sample from a population. B. B) The distribution of sample statistics (e.g., sample means) obtained from multiple samples of the same size from a population. C.C) The distribution of the entire population. D.D) The distribution of outliers in a dataset.

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

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? Unbiased Equal to the parameter Normally distributed Statistically significant

What can one say about the sampling distribution of a sample statistic based on a simple random sample?Group of answer choicesIt is about bell-shaped and peaks above the parameterIt is usually skewed if the population concerns incomesIt will be roughly a straight lineNothing can be said in advance about the sampling distribution since the sampling was random

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