Question

A certain statistic bˆ is being used to estimate a population parameter B . The expected value of bˆ is equal to B . What property does bˆ exhibit? The sampling distribution of bˆ is normal. The sampling distribution of b hat is normal. A The sampling distribution of bˆ is binomial. The sampling distribution of b hat is binomial. B The sampling distribution of bˆ is uniform. The sampling distribution of b hat is uniform. C bˆ is unbiased. B hat is unbiased. D bˆ is biased.

Answer 1

d is biased

Explanation:

The expected value of d is not D

The property where the expected value of d is D is called unbaisedness, hence d is biased

Answer 2

C bˆ is unbiased.

Explanation:

In statistics, the sampling distribution showcases the distribution of obtained values by the statistics in all possible sample sizes of the same population. A statistic that estimates a population parameter is termed to be an unbiased estimator if the mean of such distribution appears to be equal to the true value of the estimated parameter.

Thus, from the aforementioned, the property exhibited by b- is unbiased.