Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 8 - Review - Case Study - Sampling Distribution of the Median - Page 424: 15

Answer

It can be seen from the results of Problem 14 that average of sample mean of every size is near to 50, which is, the mean of the population. As sample size increases,the mean of the sample is equal to 50. So, the mean sample of every size has an average near to the mean of the population. It can be seen from the results of Problem 14 that average of the median of samples of every size is approximately equal to 34.65. The median of the exponential distribution is calculated as follows: \[\begin{align} & \text{Median}=\frac{\ln \,2}{\lambda } \\ & =\frac{0.6931}{0.02} \\ & =34.65 \end{align}\] So, sample median of every size has an average near to the median of the population.

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