Question

A statistic is unbiased if...

you can choose more than one answers

a.

b. The mean of its sampling distribution is equal to the true value of the parameter it estimates.

c. The value of the statistic is equal to the true value of the parameter it estimates.

d. If samples of n random and independent observations are repeatedly and independently drawn from a population, then as the number of samples becomes very large, the mean of the sample means approaches the true population mean.

Answer 1

Answer:-

A statistic is unbiased if

the mean of its sampling distribution is equal to the true value of the parameter it estimates.

Because ,

we know that an unbiased statistic is a sample estimate of a population paramater whose sampling distribution has a mean that is equal to the parameter being estimated.

Mathematically it defined as,

E ( x^{​​​​​​-} ) =  

Where , x^{​​​​​​-}  is the sample mean called sample statistic , is the population Paramater.

Here we say that sample mean is an unbiased estimator of population mean.

Thanks dear student.