Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-4 Sampling Distributions and Estimators - Basic Skills and Concepts - Page 282: 13

Answer

a) 0, 4/16 2, 2/16 3, 2/16 7, 2/16 9, 2/16 10, 2/16 12, 2/16 b) $12$ c) No

Work Step by Step

a)We know there are $4$ numbers, so there are $4^2=16$ ways to combine them. Combining the values with the same ranges, we obtain the following: Median, probability: 0, 4/16 2, 2/16 3, 2/16 7, 2/16 9, 2/16 10, 2/16 12, 2/16 b) We can see that the population range of this set is $12$. c) The population range is not unbiased, because it is not equal to the sample range.
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