(a) Why is an unbiased statistic generally preferred over a biased statistic for estimating a population characteristic? An unbiased statistic is generally preferred over a biased one because the unbiased statistic --Select-- , on average, give the correct value for the population characteristic being estimated, while the biased one -Select--v (b) Does unbiasedness alone guarantee that the estimate will be close to the true value? Explain. Unbiasedness alone --Select- v guarantee that the value of the statistic will be close to the true value of the population characteristic, since, if the statistic has a large standard deviation, values of the statistic will tend to be --Select--- v the population characteristic. (c) Under what circumstances might you choose a biased statistic over an unbiased statistic if two statistics are available for estimating a population characteristic? A biased statistic might be chosen in preference to an unbiased one if the biased statistic has a Select- v standard deviation than that of the unbiased statistic, and as a result values of the biased statistic are more likely to be --Select v the population characteristic than values of the unbiased statistic.

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(a) Why is an unbiased statistic generally preferred over a biased statistic for estimating a population characteristic?
An unbiased statistic is generally preferred over a biased one because the unbiased statistic ---Select- v, on average, give the correct value for the population characteristic being estimated, while the biased one --Select--
(b) Does unbiasedness alone guarantee that the estimate will be close to the true value? Explain.
Unbiasedness alone -Select-- v guarantee that the value of the statistic will be close to the true value of the population characteristic, since, if the statistic has a large standard deviation, values of the statistic will tend to be ---Select--- v the population
characteristic.
(c) Under what circumstances might you choose a biased statistic over an unbiased statistic if two statistics are available for estimating a population characteristic?
A biased statistic might be chosen in preference to an unbiased one if the biased statistic has a ---Select--- v standard deviation than that of the unbiased statistic, and as a result values of the biased statistic are more likely to be ---Select--- v the population
characteristic than values of the unbiased statistic.
Transcribed Image Text:(a) Why is an unbiased statistic generally preferred over a biased statistic for estimating a population characteristic? An unbiased statistic is generally preferred over a biased one because the unbiased statistic ---Select- v, on average, give the correct value for the population characteristic being estimated, while the biased one --Select-- (b) Does unbiasedness alone guarantee that the estimate will be close to the true value? Explain. Unbiasedness alone -Select-- v guarantee that the value of the statistic will be close to the true value of the population characteristic, since, if the statistic has a large standard deviation, values of the statistic will tend to be ---Select--- v the population characteristic. (c) Under what circumstances might you choose a biased statistic over an unbiased statistic if two statistics are available for estimating a population characteristic? A biased statistic might be chosen in preference to an unbiased one if the biased statistic has a ---Select--- v standard deviation than that of the unbiased statistic, and as a result values of the biased statistic are more likely to be ---Select--- v the population characteristic than values of the unbiased statistic.
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