Chapter 7.1, Problem 25E

(a)

To determine

To find: that the statistics are unbiased estimators, justify answer.

Answer to Problem 25E

Graph (ii) and (iii)

Explanation of Solution

Given:

  

The static is an unbiased estimator, if the value of the statistic is same to the mean. The mean of the distribution is predicted to lie at the highest bar in the histogram. It is observed that the mean and the population parameter looks to fall together for graph (ii) and (ii) only. Therefore the statistic in graph (ii) and (iii) looks to be an unbiased estimator.

(b)

To determine

To find: that statistics does the best job of estimating the parameter, explain.

Answer to Problem 25E

Graph (b)

Explanation of Solution

Given:

  

The graph is associating to a statistic that does the best job of estimating the parameter, the graph that bars centred approximately the population parameter with no gaps between the bars.

Thus graph (b) is then the best estimate.