Is it unbiased? A statistic has a sampling distribution that is somewhat skewed. The median is 5 and the quartiles are 2 and 10. The mean is 8.

(a) If the population parameter is 5, is the estimator unbiased?

(b) If the population parameter is 10, is the estimator unbiased?

(c) If the population parameter is 8, is the estimator unbiased?

(d) Write a short summary of your results in parts (a)

through

(c) and include a discussion of bias and unbiased estimators.